The DOI matches its Crossref record; 10 of the 10 references it cites were found in a registry or an index.
Holonomic quantum computation
Open accessOverview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
The cited source says what the claim attributes to it.
In the citing paper
“Furthermore, since the SU(2) gauge field description is valid for photons down to quantum scale, this approach might be applicable to the design of geometric gates for realizing non-Abelian holonomic quantum computation64,65 with photons.”
From Non-Abelian gauge field optics (2019) · cites this paper as [64]
In the citing paper
“The Davies approach is based not on the highT limit, but rather on the physically plausible idea of weak coupling. This is natural and consistent with thermodynamics at all temperatures.”
From Internal consistency of fault-tolerant quantum error correction in light of rigorous derivations of the quantum Markovian limit (2006) · cites this paper as [43]
In the citing paper
“In the Davies approach the Markov approximation is a consequence of weak coupling (and hence slow dynamics of the system in the interaction picture), and time coarse-graining, which leads to cancellation of the non-Markovian oscillating terms.”
From Internal consistency of fault-tolerant quantum error correction in light of rigorous derivations of the quantum Markovian limit (2006) · cites this paper as [43]
In the citing paper
“The price we pay is the invalidity of this approach for timedependent Hamiltonians, except in the adiabatic case.”
From Internal consistency of fault-tolerant quantum error correction in light of rigorous derivations of the quantum Markovian limit (2006) · cites this paper as [43]
In the citing paper
“More specifically, Davies' derivation does not invoke a flatness condition on G ( ω ) but is, of course, still subject to the KMS condition.”
From Internal consistency of fault-tolerant quantum error correction in light of rigorous derivations of the quantum Markovian limit (2006) · cites this paper as [43]
In the citing paper
“Hence, while the Davies approach does not require the highT limit, it imposes severe restrictions on the speed of quantum gates.”
From Internal consistency of fault-tolerant quantum error correction in light of rigorous derivations of the quantum Markovian limit (2006) · cites this paper as [43]
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Appearance of Gauge Structure in Simple Dynamical Systems
Wilczek, F., & Zee, A. (1984) · Physical Review Letters · doi:10.1103/physrevlett.52.2111 · Cited by 1,775
DiVincenzo, D. P. (1995) · Science · doi:10.1126/science.270.5234.255 · Cited by 1,651
Geometry, Topology and Physics
Nakahara, M. (1990) · doi:10.1887/0750306068 · Cited by 1,620
Wilczek, F. A., & Shapere, A. D. (1989) · Advanced series in mathematical physics · doi:10.1142/0613 · Cited by 1,616
Steane, A. (1998) · Reports on Progress in Physics · doi:10.1088/0034-4885/61/2/002 · Cited by 1,391
Two-bit gates are universal for quantum computation
DiVincenzo, D. P. (1995) · Physical Review A · doi:10.1103/physreva.51.1015 · Cited by 1,069
Almost Any Quantum Logic Gate is Universal
Lloyd, S. (1995) · Physical Review Letters · doi:10.1103/physrevlett.75.346 · Cited by 690
Universality in quantum computation
Deutsch, D. E., Barenco, A., & Ekert, A. (1995) · Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences · doi:10.1098/rspa.1995.0065 · Cited by 346
Hermitian vector bundles and the equidistribution of the zeroes of their holomorphic sections
Bott, R., & Chern, S.-S. (1965) · Acta Mathematica · doi:10.1007/bf02391818 · Cited by 294
Geometric phase, bundle classification, and group representation
Mostafazadeh, A. (1996) · Journal of Mathematical Physics · doi:10.1063/1.531457 · Cited by 16
Research works printed but not linked: 1
- E. Demler, S.C. Zhang, LANL e-print archive cond-mat/9805404. · arXiv
Cited by
Sorted by citations
Items 601–700 of 988
Shi, Y. (2008) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/83/50002 · Cited by 6
Nonadiabatic holonomy operators in classical and quantum completely integrable systems
GIACHETTA, G., Mangiarotti, L., & Sardanashvily, G. A. (2003) · Journal of Mathematical Physics · doi:10.1063/1.1627957 · Cited by 6
Carollo, A. C. M., & Vedral, V. (2016) · Wiley eBooks · doi:10.1002/9783527805785.ch22 · Cited by 6
Mathematical structure of Rabi oscillations in the strong coupling regime
Fujii, K. (2003) · Journal of Physics A Mathematical and General · doi:10.1088/0305-4470/36/8/309 · Cited by 6
Abdel‐Aty, M. (2002) · Modern Physics Letters B · doi:10.1142/s0217984902003816 · Cited by 6
Sati, H., & Valera, S. J. (2024) · Elsevier eBooks · doi:10.1016/b978-0-323-95703-8.00262-7 · Cited by 10
Versatile cold-atom simulator of non-Abelian gauge potentials
Braun, D. (2010) · Physical Review A · doi:10.1103/physreva.82.013617 · Cited by 5
Nonadiabatic non-Abelian geometric phase in non-Hermitian quantum systems
Lou, X.-Y., Cheng, Y.-S., Zhao, P. Z., & Tong, D. M. (2025) · Physical Review A · doi:10.1103/kjpc-l778 · Cited by 5
Bakke, K. (2022) · The European Physical Journal Plus · doi:10.1140/epjp/s13360-022-02545-6 · Cited by 5
Curves in quantum state space, geometric phases, and the brachistophase
Chryssomalakos, C., Flores-Delgado, A. G., Guzmán-González, E., Hanotel, L., & Serrano-Ensástiga, E. (2023) · Journal of Physics A Mathematical and Theoretical · doi:10.1088/1751-8121/acdcd2 · Cited by 5
Estimate of the time required to perform a nonadiabatic holonomic quantum computation
Sönnerborn, O. (2024) · Physical Review A · doi:10.1103/physreva.109.062433 · Cited by 5
Zeno-effect computation: Opportunities and challenges
Berwald, J., Chancellor, N., & Dridi, R. (2025) · Physical Review A · doi:10.1103/physreva.111.042623 · Cited by 8
Geometric phases and cyclic isotropic cosmologies
Banchi, L., & Caravelli, F. (2016) · Classical and Quantum Gravity · doi:10.1088/0264-9381/33/10/105003 · Cited by 5
Hidden parameters in open-system evolution unveiled by geometric phase
Pawlus, P., & Sjöqvist, E. (2010) · Physical Review A · doi:10.1103/physreva.82.052107 · Cited by 5
Quantum holonomies for displaced Landau–Aharonov–Casher states
de Melo, J. L., Bakke, K., & Furtado, C. (2014) · Quantum Information Processing · doi:10.1007/s11128-014-0751-9 · Cited by 5
Detecting the chirality for coupled quantum dots
Cao, H.-J., & Hu, L. (2008) · Physics Letters A · doi:10.1016/j.physleta.2008.01.029 · Cited by 5
Chen, C., & Feng, M. (2008) · Physical Review A · doi:10.1103/physreva.77.012325 · Cited by 5
Non-Abelian geometrical control of a qubit in an NV center in diamond
Lu, J., & Zhou, L. (2013) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/102/30006 · Cited by 5
Purification of Lindblad dynamics, geometry of mixed states and geometric phases
Viennot, D. (2018) · Journal of Geometry and Physics · doi:10.1016/j.geomphys.2018.06.019 · Cited by 5
Fast evolution of single qubit gate in non-adiabatic geometric quantum computing
Tang, G., Yang, X., Yan, Y. L., & Lu, J. (2022) · Physics Letters A · doi:10.1016/j.physleta.2022.128349 · Cited by 5
Tight lower bounds on the time it takes to generate a geometric phase
Hörnedal, N., & Sönnerborn, O. (2023) · Physica Scripta · doi:10.1088/1402-4896/acf8a2 · Cited by 5
Кувшинов, В. И., & Kuzmin, A. V. (2006) · Physical Review A · doi:10.1103/physreva.73.052305 · Cited by 5
Implementation of holonomic quantum gates by an isospectral deformation of an Ising dimer chain
Ota, Y., Bando, M., Kondo, Y., & Nakahara, M. (2008) · Physical Review A · doi:10.1103/physreva.78.052315 · Cited by 5
Yan, Y. L., Lu, J., Wan, L., & Moser, J. (2019) · Physics Letters A · doi:10.1016/j.physleta.2019.01.013 · Cited by 5
Holonomy in the quantum navigation problem
Hubicska, B., & Muzsnay, Z. (2019) · Quantum Information Processing · doi:10.1007/s11128-019-2438-8 · Cited by 5
Stellar Representation of Multipartite Antisymmetric States
Chryssomalakos, C., Guzmán-González, E., Hanotel, L., & Serrano-Ensástiga, E. (2021) · Communications in Mathematical Physics · doi:10.1007/s00220-020-03918-7 · Cited by 5
Shortcut-based quantum gates on superconducting qubits in circuit QED*
Zhao, Z., Yan, R., & Feng, Z. (2021) · Chinese Physics B · doi:10.1088/1674-1056/abea96 · Cited by 5
Auxiliary-qubit-assisted holonomic quantum gates on superconducting circuits
Wang, Y., Wang, G., Zhou, H., Xu, Z., Liang, A., & Wu, C. (2021) · Quantum Information Processing · doi:10.1007/s11128-021-03355-y · Cited by 5
Adiabatic evolution in nonlinear systems with degeneracy
Zhou, X.-F., Zhang, Y.-S., Zhou, Z.-W., & Guo, G. (2010) · Physical Review A · doi:10.1103/physreva.81.043614 · Cited by 5
Dajka, J., & Łuczka, J. (2012) · Journal of Physics A Mathematical and Theoretical · doi:10.1088/1751-8113/45/24/244006 · Cited by 6
Chen, C., & Gao, K. (2006) · Journal of Physics A Mathematical and General · doi:10.1088/0305-4470/39/10/012 · Cited by 5
Entangling power of a two-qudit geometric phase gate
Yang, Y., Wang, X., & Sun, Z. (2008) · Physics Letters A · doi:10.1016/j.physleta.2008.04.023 · Cited by 5
Berry phase in Tavis-Cummings model
He, M.-M., Chen, G., & Liang, J.-Q. (2007) · The European Physical Journal D · doi:10.1140/epjd/e2007-00192-7 · Cited by 5
Geometrical phases for the G(4,2) Grassmannian manifold
Karle, R., & Pachos, J. K. (2003) · Journal of Mathematical Physics · doi:10.1063/1.1572551 · Cited by 5
Liu, J., Li, J., Hua, W., Xie, X.-T., & Li, W. (2006) · Journal of Physics B Atomic Molecular and Optical Physics · doi:10.1088/0953-4075/39/5/017 · Cited by 5
Geometric phase of a central qubit coupled to a spin chain in a thermal equilibrium state
Zhang, A., & Li, F. (2013) · Physics Letters A · doi:10.1016/j.physleta.2012.12.028 · Cited by 5
GEOMETRIC PHASE OF SPIN CHAIN SYSTEM IN THE NONEQUILIBRIUM THERMAL ENVIRONMENTS
Zhang, X.-X., Zhang, A., Zhang, J., & Ju-xia, W. (2013) · Modern Physics Letters B · doi:10.1142/s0217984913500784 · Cited by 5
Multi-qubit non-adiabatic holonomic controlled quantum gates in decoherence-free subspaces
Hu, S., Cui, W., Guo, Q., Wang, H., Zhu, A., & Zhang, S. (2016) · Quantum Information Processing · doi:10.1007/s11128-016-1362-4 · Cited by 5
Berry connection in atom-molecule systems
Cui, F.-C., & Wu, B. (2011) · Physical Review A · doi:10.1103/physreva.84.024101 · Cited by 5
Chen, C. (2011) · Communications in Theoretical Physics · doi:10.1088/0253-6102/56/1/17 · Cited by 5
All-optical imprinting of geometric phases onto matter waves
Zhang, Q., Gong, J., & Oh, C. H. (2009) · Physical Review A · doi:10.1103/physreva.79.043632 · Cited by 5
Li, X.-Q., Hu, C., Cen, L.-X., Zheng, H., & Yan, Y. (2002) · Physical review. B, Condensed matter · doi:10.1103/physrevb.66.235207 · Cited by 5
Exact solution of qubit decoherence models by a transfer matrix method
Nghiem, D., & Joynt, R. (2006) · Physical Review A · doi:10.1103/physreva.73.032333 · Cited by 5
Carollo, A. C. M., & Vedral, V. (2006) · Wiley eBooks · doi:10.1002/9783527618637.ch21 · Cited by 5
González, D., Chávez-Carlos, J., Hirsch, J. G., & Vergara, J. D. (2024) · Physica Scripta · doi:10.1088/1402-4896/ad1e4a · Cited by 4
Holonomic swap and controlled-swap gates of neutral atoms via selective Rydberg pumping
Sun, C., Chen, X. Y., Mu, W. L., Wang, G. C., You, J.-B., & Shao, X. Q. (2024) · EPJ Quantum Technology · doi:10.1140/epjqt/s40507-024-00246-w · Cited by 4
Nonadiabatic holonomic quantum gates in a decoherence-insensitive space
Jin, F., Geng, J., & Zhou, H. (2025) · Physical Review A · doi:10.1103/physreva.111.022620 · Cited by 4
Symmetry-protected non-Abelian geometric phases in optical waveguides with nonorthogonal modes
Pinske, J., & Scheel, S. (2022) · Physical Review A · doi:10.1103/physreva.105.013507 · Cited by 4
Floquet geometric entangling gates in ground-state manifolds of Rydberg atoms
Sun, H.-W., Wu, J.-L., & Su, S. (2024) · Physica Scripta · doi:10.1088/1402-4896/ad635b · Cited by 4
de Lima, A. G., Belich, H., & Bakke, K. (2016) · Reviews in Mathematical Physics · doi:10.1142/s0129055x16500239 · Cited by 4
Geometric phase gate based on the ac Stark shift
Hussain, M. I., Ilo-Okeke, E. O., & Byrnes, T. (2015) · Quantum Information Processing · doi:10.1007/s11128-014-0907-7 · Cited by 4
Detecting non-Abelian geometric phases with three-level Λ systems
Du, Y.-X., Xue, Z., Zhang, X.-D., & Yan, H. (2011) · Physical Review A · doi:10.1103/physreva.84.034103 · Cited by 4
Holonomic quantum computation on microwave photons with all resonant interactions
Dong, P., Yu, L.-B., & Zhou, J. (2016) · Laser Physics Letters · doi:10.1088/1612-2011/13/8/085201 · Cited by 4
Unconventional Geometric Phase Gate of Transmon Qubits With Inverse Hamiltonian Engineering
Kang, Y., & Xia, Y. (2019) · IEEE Journal of Selected Topics in Quantum Electronics · doi:10.1109/jstqe.2019.2922830 · Cited by 4
Geometric Phase for Two-Mode Entangled Coherent States
Almas, S. M., Najarbashi, G., & Tavana, A. (2022) · International Journal of Theoretical Physics · doi:10.1007/s10773-022-05179-7 · Cited by 4
Implementation of a holonomic 3-qubit gate using Rydberg superatoms in a microwave cavity
Maity, P., & Purkait, M. (2022) · The European Physical Journal Plus · doi:10.1140/epjp/s13360-022-03460-6 · Cited by 4
Differences between quantum and classical adiabatic evolution
Bösch, C., Fichtner, A., & Serra‐Garcia, M. (2024) · Physical review. B./Physical review. B · doi:10.1103/physrevb.110.064307 · Cited by 4
Adiabatic theorem for bipartite quantum systems in weak coupling limit
Viennot, D., & Aubourg, L. (2014) · Journal of Physics A Mathematical and Theoretical · doi:10.1088/1751-8113/48/2/025301 · Cited by 4
Adiabatic quantum control hampered by entanglement
Viennot, D. (2014) · Journal of Physics A Mathematical and Theoretical · doi:10.1088/1751-8113/47/29/295301 · Cited by 4
Afzali, R., Ebrahimian, N., & Eghbalifar, B. (2016) · Physics Letters A · doi:10.1016/j.physleta.2016.08.003 · Cited by 4
Observation of geometric phase in a dispersively coupled resonator-qutrit system
Zhang, L., Song, C., Wang, H., & Zheng, S. (2018) · Chinese Physics B · doi:10.1088/1674-1056/27/7/070303 · Cited by 4
Observable-Geometric Phases and Quantum Computation
Chen, Z. (2020) · International Journal of Theoretical Physics · doi:10.1007/s10773-020-04404-5 · Cited by 4
Geometric phase of an open double-quantum-dot system detected by a quantum point contact*
Du, Q., Lan, K., Zhang, Y., & Jiang, L. (2020) · Chinese Physics B · doi:10.1088/1674-1056/ab6963 · Cited by 4
Pulse–qubit interaction in a superconducting circuit under linearly dissipative environment
Gao, Y., Jin, S., Zhang, Y., & Ian, H. (2020) · Quantum Information Processing · doi:10.1007/s11128-020-02814-2 · Cited by 4
Bhattacharyya, S., & Bhattacharyya, S. (2022) · Entropy · doi:10.3390/e24111593 · Cited by 4
Accurate accumulation of arbitrary Berry phases via fractional stimulated Raman adiabatic passage
Yang, L., Yan, D., Wang, X.-C., Yang, H. W., & Wu, J. (2013) · Optics Communications · doi:10.1016/j.optcom.2013.10.059 · Cited by 4
Quantum computation with scattering matrices
Tevzadze, R., & Giorgadze, G. K. (2008) · Journal of Mathematical Sciences · doi:10.1007/s10958-008-9126-z · Cited by 4
Decoherence suppression for oscillator-assisted geometric quantum gates via symmetrization
Cen, L.-X., & Zanardi, P. (2005) · Physical Review A · doi:10.1103/physreva.71.060307 · Cited by 5
Nonadiabatic geometric rotation of an electron spin in a quantum dot by 2π hyperbolic secant pulses
Pei, P., Zhang, F.-Y., Li, C., & Song, H.-S. (2010) · Journal of Physics B Atomic Molecular and Optical Physics · doi:10.1088/0953-4075/43/12/125504 · Cited by 4
Non-Abelian geometric phase in four-waveguide arrays
Weng, B.-L., Lai, D.-M., & Zhang, X.-D. (2012) · Physical Review A · doi:10.1103/physreva.85.053801 · Cited by 4
Zhang, Y.-Q., Xing-Ri, J., & Shou, Z. (2008) · Chinese Physics B · doi:10.1088/1674-1056/17/2/013 · Cited by 4
A scheme for the implementation of unconventional geometric phase gates with trapped ions
Xie, H., Hong-cai, L., Yang, R., Xiu, L., & Huang, Z. (2007) · Chinese Physics · doi:10.1088/1009-1963/16/11/039 · Cited by 4
Exactly solvable time-dependent models in quantum mechanics and their applications
Suzko, A. A., & Giorgadze, G. K. (2008) · Physics of Particles and Nuclei · doi:10.1134/s1063779608040059 · Cited by 4
Robust Quantum Computation with Superconducting Charge Qubits via Coherent Pulses
Zhi-Bo, F., & Yan, R. (2010) · Chinese Physics Letters · doi:10.1088/0256-307x/27/1/010301 · Cited by 4
Unconventional geometric quantum phase gates with two SQUIDs in a cavity
Xia, L.-X., & Xie, Q. (2008) · Optics Communications · doi:10.1016/j.optcom.2007.12.075 · Cited by 4
Geometric Methods in Quantum Mechanics
Spera, M. (2012) · doi:10.7546/giq-13-2012-43-82 · Cited by 4
Optimal holonomic quantum gates
Niskanen, A. O., Nakahara, M., & Salomaa, M. M. (2002) · Quantum Information and Computation · doi:10.26421/qic2.s-6 · Cited by 4
Dark Spin-Cat States as Biased Qubits
Kruckenhauser, A., Yuan, M., Zheng, H., Mamaev, M., Zeng, P., Mao, X., Xu, Q., Zache, T. V., Jiang, L., van Bijnen, R., et al. (2025) · Physical Review Letters · doi:10.1103/w9zh-jwsx · Cited by 7
Decoherence and quantum threats in voice biometric authentication with post-quantum countermeasures
Sihare, S. R. (2025) · Quantum Information Processing · doi:10.1007/s11128-025-04980-7 · Cited by 3
Geometric Population Inversion in Rabi Oscillation
Liu, D., Chen, Z., & Wang, Z. (2009) · International Journal of Theoretical Physics · doi:10.1007/s10773-009-0228-2 · Cited by 3
Berry phases in the three-level atoms driven by quantized light fields
Liang, M.-L., Xu, Z., & Yuan, B. (2008) · Pramana · doi:10.1007/s12043-008-0057-5 · Cited by 3
Ultrafast geometric control of a single qubit using chirped pulses
Hawkins, P., Malinovskaya, S., & Malinovsky, V. S. (2012) · Physica Scripta · doi:10.1088/0031-8949/2012/t147/014013 · Cited by 3
Berry’s phase for displaced Landau-He-McKellar-Wilkens states
de Melo, J. L., Bakke, K., & Furtado, C. (2016) · The European Physical Journal Plus · doi:10.1140/epjp/i2016-16165-8 · Cited by 3
Geometric Phase through Spatial Potential Engineering
Cusumano, S., Pasquale, A. D., & Giovannetti, V. (2020) · Physical Review Letters · doi:10.1103/physrevlett.124.190401 · Cited by 3
Digital Quantum Simulation of Nonadiabatic Geometric Gates via Shortcuts to Adiabaticity
Wang, Y., Ding, Y., Wang, J., & Chen, X. (2020) · Entropy · doi:10.3390/e22101175 · Cited by 3
Optical control of the complex phase of a quantum ground-state amplitude
Kinos, A., Dalgaard, M., & Mølmer, K. (2022) · Physical Review A · doi:10.1103/physreva.105.062441 · Cited by 3
Holonomic quantum manipulation in the Weyl disk
Boogers, V., Erdmanis, J., & Nazarov, Y. V. (2022) · Physical review. B./Physical review. B · doi:10.1103/physrevb.105.235437 · Cited by 3
Method for the Quantum Metric Tensor Measurement in a Continuous Variable System
Lin, L.-S., Zhang, H.-L., & Yang, Z. (2023) · Photonics · doi:10.3390/photonics10030256 · Cited by 4
Nontrivial evolution and geometric phase for an orbital angular momentum qutrit
Tang, F., Zhang, D., & Chen, L. (2024) · Optics Express · doi:10.1364/oe.525024 · Cited by 3
Quantum computation based on capture-and-release dynamics
Zhang, S.-Y., Wei, J.-F., Song, P., Yan, L.-L., Kinos, A., Su, S., & Chen, G. (2025) · Physical Review A · doi:10.1103/physreva.111.012604 · Cited by 3
Geometric manipulation of a decoherence-free subspace in atomic ensembles
Chen, D. S., Luo, S., Wang, Y.-D., Chesi, S., & Choi, M. (2022) · Physical Review A · doi:10.1103/physreva.105.022627 · Cited by 3
Robust nonadiabatic holonomic quantum gates on decoherence-protected qubits
He, Z.-C., & Xue, Z. (2021) · Applied Physics Letters · doi:10.1063/5.0063401 · Cited by 3
Geometric property of off resonance error robust composite pulse
Kukita, S., Kiya, H., & Kondo, Y. (2022) · Scientific Reports · doi:10.1038/s41598-022-13207-z · Cited by 3
Inertial geometric quantum logic gates
Turyansky, D., Ovdat, O., Dann, R., Aqua, Z., Kosloff, R., Dayan, B., & Pick, A. (2024) · Physical Review Applied · doi:10.1103/physrevapplied.21.054033 · Cited by 3
Algorithmes et architectures pour ordinateurs quantiques supraconducteurs
Blais, A. (2003) · Annales de Physique · doi:10.1051/anphys:2003008 · Cited by 3
Geometric Control for Unified Entangling Quantum Gate with High-Fidelity in Electric Circuit
Xu, L., Huang, G., Ji, Y., & Wang, Z. (2010) · International Journal of Theoretical Physics · doi:10.1007/s10773-010-0384-4 · Cited by 3
Kult, D., Åberg, J., & Sjöqvist, E. (2008) · Physical Review A · doi:10.1103/physreva.77.012114 · Cited by 3
Geometric Phases for Mixed States in Trapped Ions
Hong-Xia, L. (2006) · Communications in Theoretical Physics · doi:10.1088/0253-6102/46/3/009 · Cited by 3
Aharonov–Anandan phases for spin–spin coupling in a rotating magnetic field
Liang, M.-L., Shu, S.-L., & Yuan, B. (2007) · Physica Scripta · doi:10.1088/0031-8949/75/2/003 · Cited by 3
Ultrafast control of electron spin in a quantum dot using geometric phase
Malinovsky, V. S., & Rudin, S. (2012) · Solid-State Electronics · doi:10.1016/j.sse.2012.05.039 · Cited by 3
Metadata
- Authors
- Zanardi, P., & Rasetti, M.
- Affiliations
- Politecnico di Torino (IT)
- Venue
- Physics Letters A
- Publisher
- Elsevier BV
- Published
- 1999-12
- Volume
- 264
- Issue
- 2-3
- Pages
- 94-99
- ISSN
- 0375-9601 (ISSN-L)
- OpenAlex
- W2025206681
- Cited by
- 1,006
- References
- 10
- Citations by year
- 2026: 28 · 2025: 38 · 2024: 42 · 2023: 68 · 2022: 57 · 2021: 55 · 2020: 50 · 2019: 40 · 2018: 40 · 2017: 28 · 2016: 48 · 2015: 24 · 2014: 41 · 2013: 35 · 2012: 34
- FWCI
- 21.94
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physics Letters A (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- PORTO@Iris (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Information and Cryptography
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Keywords
- holonomic quantum computation, Berry phase, non-Abelian holonomy, adiabatic evolution, control field, universal quantum computation
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
