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Quantum Theory: Informational Foundations and Foils
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“The unitarity of a noise channel gives additional information, beyond the average gate fidelity [37].”
From Simple formulation of no-cloning and no-hiding that admits efficient and robust verification (2024) · cites this paper as [37]
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Cites
A Mathematical Theory of Communication
Shannon, C. E. (1948) · Bell System Technical Journal · doi:10.1002/j.1538-7305.1948.tb01338.x · Cited by 88,486
Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?
Einstein, A., Podolsky, B., & Rosen, N. (1935) · Physical Review · doi:10.1103/physrev.47.777 · Cited by 16,654
Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels
Bennett, C. H., Brassard, G., Crépeau, C., Jozsa, R., Peres, A., & Wootters, W. K. (1993) · Physical Review Letters · doi:10.1103/physrevlett.70.1895 · Cited by 13,703
On the Einstein Podolsky Rosen paradox
Bell, J. S. (1964) · Physics Physique Fizika · doi:10.1103/physicsphysiquefizika.1.195 · Cited by 12,252
Quantum cryptography based on Bell’s theorem
Ekert, A. K. (1991) · Physical Review Letters · doi:10.1103/physrevlett.67.661 · Cited by 10,777
On the Quantum Correction For Thermodynamic Equilibrium
Wigner, E. (1932) · Physical Review · doi:10.1103/physrev.40.749 · Cited by 9,283
A fast quantum mechanical algorithm for database search
Grover, L. K. (1996) · Proceedings of the twenty-eighth annual ACM symposium on Theory of computing - STOC '96 · doi:10.1145/237814.237866 · Cited by 8,830
Algorithms for quantum computation: discrete logarithms and factoring
Shor, P. W. (2002) · Proceedings 35th Annual Symposium on Foundations of Computer Science · doi:10.1109/sfcs.1994.365700 · Cited by 8,713
Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer
Shor, P. W. (1997) · SIAM Journal on Computing · doi:10.1137/s0097539795293172 · Cited by 8,472
Quantum cryptography: Public key distribution and coin tossing
Bennett, C. H., & Brassard, G. (2014) · Theoretical Computer Science · doi:10.1016/j.tcs.2014.05.025 · Cited by 8,299
A Suggested Interpretation of the Quantum Theory in Terms of "Hidden" Variables. I
Bohm, D. (1952) · Physical Review · doi:10.1103/physrev.85.166 · Cited by 5,510
Communication via one- and two-particle operators on Einstein-Podolsky-Rosen states
Bennett, C. H., & Wiesner, S. J. (1992) · Physical Review Letters · doi:10.1103/physrevlett.69.2881 · Cited by 5,470
A single quantum cannot be cloned
Wootters, W. K., & Zurek, W. H. (1982) · Nature · doi:10.1038/299802a0 · Cited by 5,406 · cited 1×
“The new field showed that the mathematical axioms of quantum theory imply striking operational consequences, such as quantum key distribution [11, 12], quantum algorithms [13, 14], no-cloning [15, 16], quantum teleportation [17] and dense coding [18].”
BackgroundPrinciples of optics. Electromagnetic theory of propagation, interference and diffraction of light
Rosenfeld, L. (1960) · Nuclear Physics · doi:10.1016/0029-5582(60)90353-9 · Cited by 3,383
"Relative State" Formulation of Quantum Mechanics
Everett, H. (1957) · Reviews of Modern Physics · doi:10.1103/revmodphys.29.454 · Cited by 3,379
Discussion of Probability Relations between Separated Systems
Schrödinger, E. (1935) · Mathematical Proceedings of the Cambridge Philosophical Society · doi:10.1017/s0305004100013554 · Cited by 3,124
The Logic of Quantum Mechanics
Birkhoff, G., & von Neumann, J. (1936) · Annals of Mathematics · doi:10.2307/1968621 · Cited by 2,856
Unified dynamics for microscopic and macroscopic systems
Ghirardi, G. C., Rimini, A., & Weber, T. (1986) · Physical Review D · doi:10.1103/physrevd.34.470 · Cited by 2,798
Completely positive linear maps on complex matrices
Choi, M.-D. (1975) · Linear Algebra and its Applications · doi:10.1016/0024-3795(75)90075-0 · Cited by 2,659 · cited 1×
“In quantum theory, the state-transformation isomorphism concides with the Choi isomorphism [63].”
Quantum generalizations of Bell's inequality
Cirel'son, B. S. (1980) · Letters in Mathematical Physics · doi:10.1007/bf00417500 · Cited by 1,788
Device-independent security of quantum cryptography against collective attacks
Acín, A., Brunner, N., Gisin, N., Massar, S., Pironio, S., & Scarani, V. (2007) · Physical Review Letters · doi:10.1103/physrevlett.98.230501 · Cited by 1,537
Greenberger, D. M., Horne, M. A., & Zeilinger, A. (1989) · Bell’s Theorem, Quantum Theory and Conceptions of the Universe · doi:10.1007/978-94-017-0849-4_10 · Cited by 1,513
Linear transformations which preserve trace and positive semidefiniteness of operators
Jamiołkowski, A. (1972) · Reports on Mathematical Physics · doi:10.1016/0034-4877(72)90011-0 · Cited by 1,512
Dieks, D. (1982) · Physics Letters A · doi:10.1016/0375-9601(82)90084-6 · Cited by 1,461
Random numbers certified by Bell’s theorem
Pironio, S., Acín, A., Massar, S., de la Giroday, A. B., Matsukevich, D. N., Maunz, P., Olmschenk, S., Hayes, D., Luo, L., Manning, T. A., et al. (2010) · Nature · doi:10.1038/nature09008 · Cited by 1,420
Gardiner, C. W., & Zoller, P. (2004) · Cited by 1,262
The Problem of Hidden Variables in Quantum Mechanics
Kochen, S., & Specker, E. (1967) · Indiana University Mathematics Journal · doi:10.1512/iumj.1968.17.17004 · Cited by 1,250
Quantum nonlocality without entanglement
Bennett, C. H., Divincenzo, D. P., Fuchs, C. A., Mor, T., Rains, E. M., Shor, P. W., Smolin, J. A., & Wootters, W. K. (1999) · Physical Review A · doi:10.1103/physreva.59.1070 · Cited by 1,168
Ghirardi, G. C., Pearle, P., & Rimini, A. (1990) · Physical Review A · doi:10.1103/physreva.42.78 · Cited by 1,142
Hidden variables and the two theorems of John Bell
Mermin, N. D. (1993) · Reviews of Modern Physics · doi:10.1103/revmodphys.65.803 · Cited by 1,078
No Signaling and Quantum Key Distribution
Barrett, J., Hardy, L., & Kent, A. (2005) · Physical Review Letters · doi:10.1103/physrevlett.95.010503 · Cited by 916
An operational approach to quantum probability
Davies, E. B., & Lewis, J. T. (1970) · Communications in Mathematical Physics · doi:10.1007/bf01647093 · Cited by 888
Information causality as a physical principle
Pawłowski, M., Paterek, T., Kaszlikowski, D., Scarani, V., Winter, A., & Żukowski, M. (2009) · Nature · doi:10.1038/nature08400 · Cited by 776
Information processing in generalized probabilistic theories
Barrett, J. (2007) · Physical Review A · doi:10.1103/physreva.75.032304 · Cited by 768
Positive Functions on C ∗ -Algebras
Stinespring, W. F. (1955) · Proceedings of the American Mathematical Society · doi:10.2307/2032342 · Cited by 753
Information, Physics, Quantum: The Search for Links
WHEELER, J. A. (2018) · CRC Press eBooks · doi:10.1201/9780429500459-19 · Cited by 749
Unextendible Product Bases and Bound Entanglement
Bennett, C. H., Divincenzo, D. P., Mor, T., Shor, P. W., Smolin, J. A., & Terhal, B. M. (1999) · Physical Review Letters · doi:10.1103/physrevlett.82.5385 · Cited by 727
Raz, R. (1998) · SIAM Journal on Computing · doi:10.1137/s0097539795280895 · Cited by 720
From Bell’s Theorem to Secure Quantum Key Distribution
Acín, A., Gisin, N., & Masanes, L. (2006) · Physical Review Letters · doi:10.1103/physrevlett.97.120405 · Cited by 709
Proposed Experiment to Test Local Hidden Variable Theories.
Clauser, J. F., Horne, M., Shimony, A., & Holt, R. A. (1970) · Physical Review Letters · doi:10.1103/physrevlett.24.549 · Cited by 705
Categories for the Working Mathematician
Lane, S. M. (1978) · Graduate texts in mathematics · doi:10.1007/978-1-4757-4721-8 · Cited by 689
Contextuality for preparations, transformations, and unsharp measurements
Spekkens, R. W. (2005) · Physical Review A · doi:10.1103/physreva.71.052108 · Cited by 671
Evidence for the epistemic view of quantum states: A toy theory
Spekkens, R. W. (2007) · Physical Review A · doi:10.1103/physreva.75.032110 · Cited by 652
A categorical semantics of quantum protocols
Abramsky, S., & Coecke, B. (2004) · ACM/IEEE Symposium on Logic in Computer Science (LICS) · doi:10.1109/lics.2004.1319636 · Cited by 638
Quantum mechanics as quantum information, mostly
Fuchs, C. A. (2003) · Journal of Modern Optics · doi:10.1080/09500340308234548 · Cited by 632
Nonlocal correlations as an information-theoretic resource
Barrett, J., Linden, N., Massar, S., Pironio, S., Popescu, S., & Roberts, D. (2005) · Physical Review A · doi:10.1103/physreva.71.022101 · Cited by 630
Informational derivation of quantum theory
Chiribella, G., D’Ariano, G. M., & Perinotti, P. (2011) · Physical Review A · doi:10.1103/physreva.84.012311 · Cited by 609
Self-citationAn introduction to QBism with an application to the locality of quantum mechanics
Fuchs, C. A., Mermin, N. D., & Schack, R. (2014) · American Journal of Physics · doi:10.1119/1.4874855 · Cited by 543
Fully Device-Independent Quantum Key Distribution
Vazirani, U. V., & Vidick, T. (2014) · Physical Review Letters · doi:10.1103/physrevlett.113.140501 · Cited by 519
Quantum And Relativistic Protocols For Secure Multi-Party ComputationPreprint
Colbeck, R. (2009) · arXiv (Cornell University) · doi:10.48550/arxiv.0911.3814 · Cited by 493
The Heisenberg Representation of Quantum Computers
Gottesman, D. (1998) · arXiv · doi:10.48550/arxiv.quant-ph/9807006 · Cited by 489
Probabilistic theories with purification
Chiribella, G., D’Ariano, G. M., & Perinotti, P. (2010) · Physical Review A · doi:10.1103/physreva.81.062348 · Cited by 482
Self-citationQuantum probabilities as Bayesian probabilities
Caves, C. M., Fuchs, C. A., & Schack, R. (2002) · Physical Review A · doi:10.1103/physreva.65.022305 · Cited by 481
Interacting quantum observables: categorical algebra and diagrammatics
Coecke, B., & Duncan, R. (2011) · New Journal of Physics · doi:10.1088/1367-2630/13/4/043016 · Cited by 467
Before a Theory of Everything: What Fundamental Reconstructions Are Not Allowed to AssumePreprint
Hardy, L. (2001) · arXiv (Cornell University) · doi:10.48550/arxiv.quant-ph/0101012 · Cited by 456
Limit on Nonlocality in Any World in Which Communication Complexity Is Not Trivial
Brassard, G., Buhrman, H., Linden, N., Méthot, A. A., Tapp, A., & Unger, F. (2006) · Physical Review Letters · doi:10.1103/physrevlett.96.250401 · Cited by 414
Discrete phase space based on finite fields
Gibbons, K. S., Hoffman, M. J., & Wootters, W. K. (2004) · Physical Review A · doi:10.1103/physreva.70.062101 · Cited by 411
Secure device-independent quantum key distribution with causally independent measurement devices
Masanes, L., Pironio, S., & Acín, A. (2011) · Nature Communications · doi:10.1038/ncomms1244 · Cited by 383
Irreducible representations of operator algebras
Segal, I. E. (1947) · Bulletin of the American Mathematical Society · doi:10.1090/s0002-9904-1947-08742-5 · Cited by 381
Quantum cryptography with imperfect apparatus
Mayers, D., & Yao, A. C.-C. (2002) · Annual Symposium on Foundations of Computer Science · doi:10.1109/sfcs.1998.743501 · Cited by 380
Free randomness can be amplified
Colbeck, R., & Renner, R. (2012) · Nature Physics · doi:10.1038/nphys2300 · Cited by 379
Private randomness expansion with untrusted devices
Colbeck, R., & Kent, A. (2011) · Journal of Physics A Mathematical and Theoretical · doi:10.1088/1751-8113/44/9/095305 · Cited by 379
Precision Tests of Quantum Mechanics
Weinberg, S. (1989) · Physical Review Letters · doi:10.1103/physrevlett.62.485 · Cited by 377
Wood, C. J., & Spekkens, R. W. (2015) · New Journal of Physics · doi:10.1088/1367-2630/17/3/033002 · Cited by 369
Clausius, R., & Hirst, T. A. (2010) · Medical Entomology and Zoology · Cited by 367
Hudson’s theorem for finite-dimensional quantum systems
Gross, D. (2006) · Journal of Mathematical Physics · doi:10.1063/1.2393152 · Cited by 366
Weinberg's non-linear quantum mechanics and supraluminal communications
Gisin, N. (1990) · Physics Letters A · doi:10.1016/0375-9601(90)90786-n · Cited by 357
A Survey of Graphical Languages for Monoidal Categories
Selinger, P. (2010) · Lecture notes in physics · doi:10.1007/978-3-642-12821-9_4 · Cited by 338
A derivation of quantum theory from physical requirements
Masanes, L., & Mueller, M. (2011) · UCL Discovery (University College London) · Cited by 324
Fuchs, C. A., & Schack, R. (2013) · Reviews of Modern Physics · doi:10.1103/revmodphys.85.1693 · Cited by 321
Implausible consequences of superstrong nonlocality
van Dam, W. (2012) · Natural Computing · doi:10.1007/s11047-012-9353-6 · Cited by 306
A mathematical theory of resources
Coecke, B., Fritz, T., & Spekkens, R. W. (2016) · Information and Computation · doi:10.1016/j.ic.2016.02.008 · Cited by 302
A glance beyond the quantum model
Navascués, M., & Wunderlich, H. (2009) · Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences · doi:10.1098/rspa.2009.0453 · Cited by 298
Generalized No-Broadcasting Theorem
Barnum, H., Barrett, J., Leifer, M., & Wilce, A. (2007) · Physical Review Letters · doi:10.1103/physrevlett.99.240501 · Cited by 289
Negativity and Contextuality are Equivalent Notions of Nonclassicality
Spekkens, R. W. (2008) · Physical Review Letters · doi:10.1103/physrevlett.101.020401 · Cited by 288
Abramsky, S., & Coecke, B. (2009) · Elsevier eBooks · doi:10.1016/b978-0-444-52869-8.50010-4 · Cited by 286
Quantum Theory and Beyond: Is Entanglement Special?
Dakić, B., & Brukner, Č. (2011) · Cambridge University Press eBooks · doi:10.1017/cbo9780511976971.011 · Cited by 283
Towards a formulation of quantum theory as a causally neutral theory of Bayesian inference
Leifer, M., & Spekkens, R. W. (2013) · Physical Review A · doi:10.1103/physreva.88.052130 · Cited by 283
Einstein, Incompleteness, and the Epistemic View of Quantum StatesPreprint
Harrigan, N., & Spekkens, R. W. (2010) · PhilSci-Archive (University of Pittsburgh) · Cited by 279
Liang, Y.-C., Spekkens, R. W., & Wiseman, H. M. (2011) · Physics Reports · doi:10.1016/j.physrep.2011.05.001 · Cited by 266
Contextuality in measurement-based quantum computation
Raussendorf, R. (2013) · Physical Review A · doi:10.1103/physreva.88.022322 · Cited by 248
Is a System’s Wave Function in One-to-One Correspondence with Its Elements of Reality?
Colbeck, R., & Renner, R. (2012) · Physical Review Letters · doi:10.1103/physrevlett.108.150402 · Cited by 245
Beyond Bell's theorem: correlation scenarios
Fritz, T. (2012) · New Journal of Physics · doi:10.1088/1367-2630/14/10/103001 · Cited by 243
The Logic of Quantum Mechanics
Birkhoff, G., & von Neumann, J. (1975) · Springer eBooks · doi:10.1007/978-94-010-1795-4_1 · Cited by 239
Reformulating and Reconstructing Quantum TheoryPreprint
Hardy, L. (2011) · arXiv (Cornell University) · doi:10.48550/arxiv.1104.2066 · Cited by 238
No extension of quantum theory can have improved predictive power
Colbeck, R., & Renner, R. (2011) · Nature Communications · doi:10.1038/ncomms1416 · Cited by 223
Coecke, B. (2009) · Contemporary Physics · doi:10.1080/00107510903257624 · Cited by 215
Guess Your Neighbor’s Input: A Multipartite Nonlocal Game with No Quantum Advantage
Almeida, M. L., Bancal, J.-D., Brunner, N., Acín, A., Gisin, N., & Pironio, S. (2010) · Physical Review Letters · doi:10.1103/physrevlett.104.230404 · Cited by 203
Computational Power of Correlations
Anders, J., & Browne, D. E. (2009) · Physical Review Letters · doi:10.1103/physrevlett.102.050502 · Cited by 192
Quantum Nonlocality and Beyond: Limits from Nonlocal Computation
Linden, N., Popescu, S., Short, A. J., & Winter, A. (2007) · Physical Review Letters · doi:10.1103/physrevlett.99.180502 · Cited by 189
Theory-independent limits on correlations from generalized Bayesian networks
Henson, J., Lal, R., & Pusey, M. F. (2014) · New Journal of Physics · doi:10.1088/1367-2630/16/11/113043 · Cited by 181
Popescu-Rohrlich Correlations as a Unit of Nonlocality
Barrett, J., & Pironio, S. (2005) · Physical Review Letters · doi:10.1103/physrevlett.95.140401 · Cited by 177
Information Processing in Convex Operational Theories
Barnum, H., & Wilce, A. (2011) · Electronic Notes in Theoretical Computer Science · doi:10.1016/j.entcs.2011.01.002 · Cited by 168
Information–theoretic implications of quantum causal structures
Chaves, R., Majenz, C., & Gross, D. (2015) · Nature Communications · doi:10.1038/ncomms6766 · Cited by 162
Higher-order interference and single-system postulates characterizing quantum theory
Barnum, H., Müller, M. P., & Ududec, C. (2014) · New Journal of Physics · doi:10.1088/1367-2630/16/12/123029 · Cited by 161
Quantum Foundations in the Light of Quantum InformationPreprint
Fuchs, C. A. (2001) · arXiv (Cornell University) · doi:10.48550/arxiv.quant-ph/0106166 · Cited by 156
Distinct Quantum States Can Be Compatible with a Single State of Reality
Lewis, P. G., Jennings, D. H., Barrett, J., & Rudolph, T. (2012) · Physical Review Letters · doi:10.1103/physrevlett.109.150404 · Cited by 149
Reconstruction of Gaussian quantum mechanics from Liouville mechanics with an epistemic restriction
Bartlett, S. D., Rudolph, T., & Spekkens, R. W. (2012) · Physical Review A · doi:10.1103/physreva.86.012103 · Cited by 147
Entropy and information causality in general probabilistic theories
Barnum, H., Barrett, J., Clark, L. O., Leifer, M., Spekkens, R. W., Stepanik, N., Wilce, A., & Wilke, R. (2010) · New Journal of Physics · doi:10.1088/1367-2630/12/3/033024 · Cited by 141
Quantum Mechanics and Hilbert Space
Mackey, G. W. (1957) · American Mathematical Monthly · doi:10.1080/00029890.1957.11989120 · Cited by 139
Nonlocality Distillation and Postquantum Theories with Trivial Communication Complexity
Brunner, N., & Skrzypczyk, P. (2009) · Physical Review Letters · doi:10.1103/physrevlett.102.160403 · Cited by 124
Categories for the Practising Physicist
Coecke, B., & Paquette, É. O. (2010) · Lecture notes in physics · doi:10.1007/978-3-642-12821-9_3 · Cited by 121
Limited Holism and Real-Vector-Space Quantum Theory
Hardy, L., & Wootters, W. K. (2011) · Foundations of Physics · doi:10.1007/s10701-011-9616-6 · Cited by 121
Abramsky, S., & Hardy, L. (2012) · Physical Review A · doi:10.1103/physreva.85.062114 · Cited by 120
Teleportation in general probabilistic theories
Barnum, H., Barrett, J., Leifer, M., & Wilce, A. (2012) · Proceedings of symposia in applied mathematics · doi:10.1090/psapm/071/600 · Cited by 117
Locality, Bell's theorem, and quantum mechanics
Rastall, P. (1985) · Foundations of Physics · doi:10.1007/bf00739036 · Cited by 112
A Quantum-Bayesian Route to Quantum-State Space
Fuchs, C. A., & Schack, R. (2011) · PhilPapers (PhilPapers Foundation) · Cited by 107
On the imbedding of normed rings into the ring of operators in Hilbert space
Gel′fand, I., & Neumark, M. (1994) · Contemporary mathematics - American Mathematical Society · doi:10.1090/conm/167/1292007 · Cited by 106
Rewriting Measurement-Based Quantum Computations with Generalised Flow
Duncan, R., & Perdrix, S. (2010) · Lecture notes in computer science · doi:10.1007/978-3-642-14162-1_24 · Cited by 104
Existence of an information unit as a postulate of quantum theory
Masanes, L., Müller, M. P., Augusiak, R., & Pérez-Garcı́a, D. (2013) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1304884110 · Cited by 104
Entropy in general physical theories
Short, A. J., & Wehner, S. (2010) · New Journal of Physics · doi:10.1088/1367-2630/12/3/033023 · Cited by 101
On a characterization of the state space of quantum mechanics
Araki, H. (1980) · Communications in Mathematical Physics · doi:10.1007/bf01962588 · Cited by 100
Origin of complex quantum amplitudes and Feynman’s rules
Goyal, P., Knuth, K. H., & Skilling, J. (2010) · Physical Review A · doi:10.1103/physreva.81.022109 · Cited by 94
Ludwig, G. (1964) · The European Physical Journal A · doi:10.1007/bf01418533 · Cited by 93
Current Research in Operational Quantum Logic
Coecke, B., Moore, D., & Wilce, A. (2000) · Springer eBooks · doi:10.1007/978-94-017-1201-9 · Cited by 92
Chemical Engineering Thermodynamics
Rao, Y. V. C. (1997) · Cited by 91
Phase Groups and the Origin of Non-locality for Qubits
Coecke, B., Edwards, B., & Spekkens, R. W. (2011) · Electronic Notes in Theoretical Computer Science · doi:10.1016/j.entcs.2011.01.021 · Cited by 90
Full Security of Quantum Key Distribution From No-Signaling Constraints
Masanes, L., Renner, R., Christandl, M., Winter, A., & Barrett, J. (2014) · IEEE Transactions on Information Theory · doi:10.1109/tit.2014.2329417 · Cited by 88
On the Structure of Quantal Proposition Systems
Jauch, J. M., & Piron, C. (1975) · Springer eBooks · doi:10.1007/978-94-010-1795-4_24 · Cited by 88
Causality and Nonlocality as Axioms for Quantum Mechanics
Popescu, S., & Rohrlich, D. (1998) · Springer eBooks · doi:10.1007/978-94-017-0990-3_45 · Cited by 86
A Foundational Principle for Quantum Mechanics
Zeilinger, A. (2019) · Synthese Library/Synthese library · doi:10.1007/978-3-030-15659-6_15 · Cited by 83
Causal Categories: Relativistically Interacting Processes
Coecke, B., & Lal, R. (2012) · Foundations of Physics · doi:10.1007/s10701-012-9646-8 · Cited by 72
Distinguishability measures and entropies for general probabilistic theories
Kimura, G., Nuida, K., & Imai, H. (2010) · Reports on Mathematical Physics · doi:10.1016/s0034-4877(10)00025-x · Cited by 66
Oracularization and Two-Prover One-Round Interactive Proofs against Nonlocal Strategies
Ito, T., Kobayashi, H., & Matsumoto, K. (2009) · IEEE Conference on Computational Complexity (CCC) · doi:10.1109/ccc.2009.22 · Cited by 66
Ensemble Steering, Weak Self-Duality, and the Structure of Probabilistic Theories
Barnum, H., Gaebler, C. P., & Wilce, A. (2013) · Foundations of Physics · doi:10.1007/s10701-013-9752-2 · Cited by 63
No-Cloning in Categorical Quantum Mechanics
Abramsky, S. (2009) · Cambridge University Press eBooks · doi:10.1017/cbo9781139193313.002 · Cited by 62
Quantum information: How much information in a state vector?Preprint
Caves, C. M., & Fuchs, C. A. (1996) · arXiv (Cornell University) · doi:10.48550/arxiv.quant-ph/9601025 · Cited by 61
A formalism-local framework for general probabilistic theories, including quantum theory
Hardy, L. (2013) · Mathematical Structures in Computer Science · doi:10.1017/s0960129512000163 · Cited by 61
Probabilistic theories: What is special about Quantum Mechanics?
D’Ariano, G. M. (2010) · Cambridge University Press eBooks · doi:10.1017/cbo9780511676550.007 · Cited by 59
Self-citationThree-dimensionality of space and the quantum bit: an information-theoretic approach
Müller, M. P., & Masanes, L. (2013) · New Journal of Physics · doi:10.1088/1367-2630/15/5/053040 · Cited by 56
Implications of superstrong non-locality for cryptography
Buhrman, H., Christandl, M., Unger, F., Wehner, S., & Winter, A. (2006) · Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences · doi:10.1098/rspa.2006.1663 · Cited by 54
A violation of the uncertainty principle implies a violation of the second law of thermodynamics
Hänggi, E., & Wehner, S. (2013) · Nature Communications · doi:10.1038/ncomms2665 · Cited by 53
Operational Quantum Logic: An Overview
Coecke, B., Moore, D., & Wilce, A. (2000) · Springer eBooks · doi:10.1007/978-94-017-1201-9_1 · Cited by 52
Why Physics Needs Quantum FoundationsPreprint
Hardy, L., & Spekkens, R. W. (2010) · arXiv (Cornell University) · doi:10.48550/arxiv.1003.5008 · Cited by 52
Quantum Theory, Namely the Pure and Reversible Theory of Information
Chiribella, G., D’Ariano, G. M., & Perinotti, P. (2012) · Entropy · doi:10.3390/e14101877 · Cited by 51
Self-citationEntanglement and thermodynamics in general probabilistic theories
Chiribella, G., & Scandolo, C. M. (2015) · New Journal of Physics · doi:10.1088/1367-2630/17/10/103027 · Cited by 50
Self-citationTHE DEVICE-INDEPENDENT OUTLOOK ON QUANTUM PHYSICS
Scarani, V. (2013) · National University of Singapore · Cited by 49
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Kirkpatrick, K. A. (2003) · Foundations of Physics Letters · doi:10.1023/a:1025910725022 · Cited by 48
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Metadata
- Authors
- Chiribella, G., D'Ariano, G. M., & Perinotti, P.
- Affiliations
- University of Pavia (IT)
- Corresponding author
- Chiribella, Giulio
- ORCID
- Paolo Perinotti
- Venue
- Fundamental Theories of Physics
- Publisher
- Springer Netherlands
- Published
- 2016
- ISSN
- 0168-1222 (ISSN-L)
- 2365-6425
- OpenAlex
- W2763162295
- Cited by
- 178
- References
- 165
- Citations by year
- 2026: 4 · 2025: 12 · 2024: 18 · 2023: 15 · 2022: 12 · 2021: 20 · 2020: 12 · 2019: 37 · 2018: 14 · 2017: 24 · 2016: 5
- FWCI
- 6.88
- Type
- book
- Language
- en
- Open access
- green
- arxiv.org
- Licence
- Locations
- Fundamental theories of physics (publishedVersion)
- arXiv (Cornell University) (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- DIAL (Catholic University of Leuven) (submittedVersion)
- The HKU Scholars Hub (University of Hong Kong) (submittedVersion)
- Funders
- Agence Nationale de la Recherche (ANR-11-CHRI-0007)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Information and Cryptography
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Noncommutative and Quantum Gravity Theories
- Keywords
- symplectic structure, nonclassicality, binary variables
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