Experimental realization of Shor's quantum factoring algorithm using nuclear magnetic resonance
Vandersypen, Lieven M. K., Steffen, Matthias, Breyta, Gregory, Yannoni, Costantino S., Sherwood, Mark H., Chuang, Isaac L.·2001·Nature
DOI 10.1038/414883a
Cited by (1,000)
Items 801–900 of 1,000
- Explicit implementation of quantum circuits on a quantum-cellular-automata-like architectureY. Kawano, Shigeru Yamashita, Masahiro Kitagawa · 2005 · Physical Review A
- Perspectives on solid-state flying qubitsAndrea Bertoni · 2006 · Journal of Computational Electronics
- Streamlining Shor's algorithm for potential hardware savingsYunseong Nam, R. Blümel · 2013 · Physical Review A
- Perfect coding for dephased quantum state transferAlastair Kay · 2018 · Physical Review A
- Resources for Satellite-Based Quantum Communication NetworksLászló Bacsárdi · 2018 · IEEE International Conference on Intelligent Engineering Systems (INES)
- Resiliency analysis and improvement of variational quantum factoring in superconducting qubitLing Qiu, Mahabubul Alam, Abdullah Ash Saki, Swaroop Ghosh · 2020 · International Symposium on Low Power Electronics and Design (ISLPED)
- Quantum Error Correction of Time-correlated ErrorsFeng Lu, Dan Cristian Marinescu · 2007 · Quantum Information Processing
- Effective quantum state reconstruction using compressed sensing in NMR quantum computingJerry Zhijian Yang, Shuang Cong, X. Liu, Z. Li, Kang Li · 2017 · Physical Review A
- Maximum a posteriori probability estimates for quantum tomographyVikesh Siddhu · 2019 · Physical Review A
- How quantum is the speedup in adiabatic unstructured search?Itay Hen · 2019 · Quantum Information Processing
- New research progress of nuclear magnetic resonance quantum information processingKong Xiang-Yu, Zhu Yuan-Ye, Wen Jing-Wei, Tao Xin, Li Ke-Ren, Long Gui-Lu · 2018 · Acta Physica Sinica
- Dirac Formulation for Universal Quantum Gates and Shor’s Integer Factorization in High-frequency Electric CircuitsMotohiko Ezawa · 2020 · Journal of the Physical Society of Japan
- Experimentally Obtaining the Likeness of Two Unknown Qubits on a Nuclear-Magnetic-Resonance Quantum Information ProcessorXue Fei, Du Jiang-Feng, Zhou Xian-Yi, Rongdian Han, Jihui Wu · 2003 · Chinese Physics Letters
- Adaptive grid refinement for a model of two confined and interacting atomsWilliam F. Mitchell, Eite Tiesinga · 2004 · Applied Numerical Mathematics
- Quantum Computing and Information Extraction for Dynamical Quantum SystemsGiuliano Benenti, Giulio Casati, Simone Montangero · 2004 · Quantum Information Processing
- Study of decoherence in a NMR quantum computer using tetrafluoropyridineM. Tei, Yoichi Mizuno, Yoshinori Manmoto, Ryuichi Sawae, Kenichi Takarabe · 2003 · International Journal of Quantum Chemistry
- Quantum computing with particle in a driven square wellShahid Iqbal, Farhan Saif · 2008 · Journal of Russian Laser Research
- Experimental realisation of Shor's quantum factoring algorithm using qubit recyclingEnrique Martín-López, Anthony Laing, Thomas Lawson, R. Alvarez, X.-Q. Zhou, Jeremy L. O’Brien · 2013 · Conference on Lasers and Electro-Optics Europe & European Quantum Electronics Conference (CLEO/Europe-EQEC)
- Single qubit gates with jump and return sequencesM. D. Bowdrey, Jonathan A. Jones · 2006 · Physical Review A
- Coherence protection by the Zeno effectE. Brion, G. Harel, Nouari Kébaïli, V. M. Akulin, Ilya I. Dumer · 2004 · Europhysics Letters (EPL)
- An NMR quantum computer of the semiconductor CdTeTadashi Shimizu, Atsushi Goto, Kenjiro Hashi, Shinobu Ohki · 2002 · Superlattices and Microstructures
- State of the Art and Prospects for Quantum ComputingM. I. Dyakonov · 2013 · Wiley eBooks
- Quantum optics with artificial atomsAnton Frisk Kockum · 2018 · Physics Subject Headings (PhySH)
- Realization of Shor's Algorithm at Room TemperatureNiklas Johansson, Jan-Åke Larsson · 2017 · arXiv (Cornell University)
- Measured Quantum Fourier Transform of 1024 Qubits on Fiber OpticsTomita, A, Nakamura, K · 2004
- Nuclear-Electron Spin Interactions in the Quantum Hall RegimeY. Q. Li, Jurgen H. Smet · 2008 · Springer series in solid-state sciences
- Implementing conventional and unconventional nonadiabatic geometric quantum gates via SU(2) transformationsJian-Jian Cheng, Lin Zhang · 2021 · Physical Review A
- Simulation of Grover Search with Polar CH 3 CN Molecules by Optimal Control FieldsZuo-Yuan Zhang, Zhaoxi Sun, Jie‐Ru Hu, Jin‐Ming Liu · 2023 · Advanced Quantum Technologies
- Scalable protocol to mitigate ZZ crosstalk in universal quantum gatesYan Liang, Ming-Jie Liang, Sai Li, Z. D. Wang, Zheng‐Yuan Xue · 2024 · Physical Review Applied
- Stabilization of discrete time-crystalline response on a superconducting quantum computer by increasing the interaction rangeAndrea Solfanelli, Stefano Ruffo, Sauro Succi, Nicolò Defenu · 2024 · Physical Review Research
- Factorization of large tetra and penta prime numbers on IBM quantum processorRitu Dhaulakhandi, Bikash K. Behera, Felix J. Seo · 2024 · APL Quantum
- Advancements in quantum computing: theoretical insights and practical applications using Gaussian spherical quantum dotsBlessed Yahweh, Godwin Joseph Ibeh, Godfrey Ejiroghene Akpojotor, A. M. Ekanem, Nyakno Jimmy George · 2025 · Quantum Information Processing
- Towards Supporting QIRYannick Stade, Lukas Burgholzer, Robert Wille · 2025 · International Conference for High Performance Computing, Networking, Storage and Analysis (SC)
- Improved Fault Diagnosis for Reversible CircuitsHongyan Zhang, Robert Wille, Rolf Drechsler · 2011 · Proceedings - Asian Test Symposium/Proceedings
- An efficient quantum circuit analyser on qubits and quditsT. Loke, Jingbo B. Wang · 2011 · Computer Physics Communications
- A second century of Einstein?Bose–Einstein condensation and quantum informationWilliam Arie van Wijngaarden · 2005 · Canadian Journal of Physics
- Hard-instance learning for quantum adiabatic prime factorizationJian Hui Lin, Zhengfeng Zhang, Junping Zhang, Xiaopeng Li · 2022 · Physical Review A
- General off-resonance-error-robust symmetric composite pulses with three elementary operationsShingo Kukita, Haruki Kiya, Yasushi Kondo · 2022 · Physical Review A
- Simulating Quantum Principles: Qiskit Versus CirqRajiv Pandey, Pratibha Maurya, Guru Dev Singh, Mohd. Sarfaraz Faiyaz · 2023 · Studies in computational intelligence
- A quantum-inspired probabilistic prime factorization based on virtually connected Boltzmann machine and probabilistic annealingHyundo Jung, Hyunjin Kim, Woojin Lee, Jinwoo Jeon, Yohan Choi, Taehyeong Park, Chulwoo Kim · 2023 · Scientific Reports
- Systematic construction of topological-nontopological hybrid universal quantum gates based on many-body Majorana fermion interactionsMotohiko Ezawa · 2024 · Physical review. B./Physical review. B
- Direct moment estimation of intensity distribution of magnetic fields with quantum sensing networkHiroto Kasai, Yuki Takeuchi, Yuichiro Matsuzaki, 康弘 都倉 · 2024 · New Journal of Physics
- How Quantum Prisoner’s Dilemma Can Support NegotiationsM. Szopa · 2014 · Optimum Economic Studies
- Optimal Algorithmic Cooling of SpinsYuval Elias, José M. Fernandez, Tal Mor, Yossi Weinstein · 2007 · Lecture notes in computer science
- Nuclear-induced time evolution of entanglement of two-electron spins in anisotropically coupled quantum dotGehad Sadiek, Zhen Huang, Omar Marzook Al-Dossary, Sabre Kais · 2008 · Molecular Physics
- Non-Markovian decay and dynamics of decoherence in private and public environmentsAxel D. Dente, Pablo R. Zangara, Horacio M. Pastawski · 2011 · Physical Review A
- Numerical simulation of a quantum controlled-not gate implemented on four-spin molecules at room temperatureG V L pez, Jorge Ramon Vergara Quezada, G. P. Berman, G. D. Doolen, V. I. Tsifrinovich · 2003 · Journal of Optics B Quantum and Semiclassical Optics
- Ca+quantum bits for quantum information processingJan Benhelm, Gerhard Kirchmair, R. Gerritsma, F. Zähringer, Thomas Monz, Philipp Schindler, Michael Chwalla, W. Hänsel, Markus Hennrich, Christian F. Roos et al. · 2009 · Physica Scripta
- Modular multiplication operator and quantized baker’s mapsArul Lakshminarayan · 2007 · Physical Review A
- Introduction to NMR Quantum ComputingIvan S. Oliveira, Tito José Bonagamba, Roberto S. Sarthour, Jair C. C. Freitas, Eduardo Ribeiro DeAzevedo · 2007 · Elsevier eBooks
- Fault Detection in Parity Preserving Reversible CircuitsNils Przigoda, Gerhard W. Dueck, Robert Wille, Rolf Drechsler · 2016 · IEEE International Symposium on Multiple-Valued Logic (ISMVL)
- Gateway Schemes of Quantum Control for Spin NetworksKoji Maruyama, Daniel Klaus Burgarth · 2016 · Biological magnetic resonance
- A Warp-Synchronous Implementation for Multiple-Length Multiplication on the GPUTakumi Honda, Yasuaki Ito, Koji Nakano · 2015 · International Symposium on Computing and Networking
- Distributed Quantum Computation Assisted by Remote Toffoli GateMing‐Xing Luo, Hui-Ran Li · 2016 · Lecture notes in computer science
- Automatic Test Pattern Generation for Multiple Missing Gate Faults in Reversible CircuitsAnmol Prakash Surhonne, Anupam Chattopadhyay, Robert Wille · 2017 · Lecture notes in computer science
- Potential use of new methods for identification of hollow polyester fibresEsen Özdoğan, Ebru Bozacι, Buket Arık, Aslı Demir · 2012 · DergiPark (Istanbul University)
- Landau–Zener transitions in coupled qubits: Effects of coloured noiseI.F. Nyisomeh, J.T. Diffo, Mathurin Esouague Ateuafack, Lukong Cornelius Fai · 2019 · Physica E Low-dimensional Systems and Nanostructures
- Toward NMR Quantum Reservoir ComputingMakoto Negoro, Kosuke Mitarai, Kohei Nakajima, Keisuke Fujii · 2021 · Natural computing series
- Physical and dynamic mechanical behaviors of marble after heat treatment in quasi-vacuum and air-filled environmentsLiyuan Yu, Tao Zhang, Zihan Zhu, Haijian Su, Pengxian Fan, Yingchao Wang · 2021 · Journal of Central South University
- Progress of quantum entanglement in a trapped-ion based quantum computerDahyun Yum, Taeyoung Choi · 2022 · Current Applied Physics
- Tunneling Current Through a Double Quantum Dots SystemAmin Rassekh, Majid Shalchian, Jean-Michel Sallèse, Farzan Jazaeri · 2022 · IEEE Access
- Key masking using biometryA. L. Chmora · 2011 · Problems of Information Transmission
- Silicon-based spin and charge quantum computationBelita Koiller, Xuedong Hu, Rodrigo B. Capaz, A. S. Martins, S. Das Sarma · 2005 · Anais da Academia Brasileira de Ciências
- Discrimination of unitary transformations in the Deutsch-Jozsa algorithm: Implications for thermal-equilibrium-ensemble implementationsDavid C. Collins · 2010 · Physical Review A
- The Biotic Logic of Quantum Processes and Quantum ComputationHECTOR C. SABELLI, Louis Hirsch Kauffman · 2012 · IGI Global eBooks
- Factoring Based CryptographySong Yuan Yan · 2018 · Springer eBooks
- Physics of quantum coherence in spin systemsMaimaitiyiming Tusun, Xing Rong, Jiangfeng Du · 2019 · Chinese Physics B
- Understanding the Quantum Computational Speed-up via De-quantisationAlastair A. Abbott, Cristian S. Calude · 2010 · Electronic Proceedings in Theoretical Computer Science
- Error-resilient Floquet geometric quantum computationYuan-Sheng Wang, Bao-Jie Liu, Shi‐Lei Su, Man‐Hong Yung · 2021 · Physical Review Research
- Quantum Data CompressionJohn A. Vaccaro, Yasuyoshi Mitsumori, Stephen Mark Barnett, Erika Andersson, Atsushi Hasegawa, Masahiro Takeoka, Masahide Sasaki · 2003 · Lecture notes in computer science
- Quantum Algorithm for Solving the Discrete Logarithm Problem in the Class Group of an Imaginary Quadratic Field and Security Comparison of Current Cryptosystems at the Beginning of Quantum Computer AgeArthur Schmidt · 2006 · Lecture notes in computer science
- Scalable Quantum Computer with Optical LatticesFujio Shimizu · 2004 · Japanese Journal of Applied Physics
- Demonstrations of NMR Quantum Information Processing Utilizing 31P Nuclei of Phosphorus HeterocyclesShigekazu Ito, Taro Momozaki, Yuta Kishimoto, Jiro Abe, Fumiyasu Iwahori · 2009 · Chemistry Letters
- Conditional sign flip via teleportationGian Luca Giorgi, FERDINANDO DE PASQUALE, Simone Paganelli · 2004 · Physical Review A
- Coherent electrical manipulation of nuclear spins in semiconductorsTomoki Machida, T. Yamazaki, Kenji Ikushima, Susumu Komiyama · 2004 · Physica E Low-dimensional Systems and Nanostructures
- Diamond as a Solid State Quantum Computer with a Linear Chain of Nuclear Spins SystemGustavo V. López, Gustavo V. López · 2014 · Journal of Modern Physics
- The von Neumann entropy and information rate for integrable quantum Gibbs ensembles 2Oliver Johnson, Yuri Suhov · 2002 · Bristol Research (University of Bristol)
- Possible schemes of calculation modeling in a quantum computerVladimir Kirillivich Voronov · 2010 · Natural Science
- Subsystem pseudopure statesPaola Cappellaro, J. S. Hodges, Timothy F. Havel, David G. Cory · 2007 · Physical Review A
- Quantization of the double-qubit structure and quantum computationLiang Bao-Long, Ji‐Suo Wang · 2007 · Chinese Physics
- Quantum Computing and Quantum CommunicationGöran Pulkkis, Kaj J. Grahn · 2018 · Advances in computer and electrical engineering book series
- A parallel environment for simulating quantum computationGeva Patz · 2003 · DSpace@MIT (Massachusetts Institute of Technology)
- Halofluorocarbons, Hydrofluorocarbons, and Related CompoundsPeer Kirsch · 2013 · Wiley eBooks
- Simplified Factoring Algorithms for Validating Small-Scale Quantum Information Processing TechnologiesOmar Gamel, Daniel F. V. James · 2013 · arXiv (Cornell University)
- Analysis of RSA and Shor’s algorithm for cryptography: A quantum perspectiveKute, Seema, Desai, Chitra, Jadhav, Mukti · 2024 · AIP Conference Proceedings
- Origin of anomalous Raman relaxation in [ Gd ( H 2 O ) 6 Cl 2 ] ClMartin Orendáč, Hryhorii Titikov, R. Tarasenko, Erik Čižmár, Alžbeta Orendáčová, Lenka Krešáková, Juraj Černák · 2025 · Physical review. B./Physical review. B
- Variational quantum eigensolver approach to prime factorization on IBM's noisy intermediate scale quantum computerMona Sobhani, Yahui Chai, Tobias Hartung, Karl Jansen · 2025 · Physical Review A
- Quantum-dot Controlled Electronic Block Triggering a Quantum Computation ProcedureVladimir Kirillivich Voronov · 2020 · International Journal of Information Technology and Computer Science
- Adiabatic Spin Dynamics by Chirped Microwave Pulses Based on AWG-ESRKazunobu Sato, Rei Hirao, Satoru Yamamoto, Konstantin L. Ivanov, Takeji Takui · 2022 · Applied Magnetic Resonance
- Automatic generation of efficient oracles: The less-than caseJavier Sanchez‐Rivero, Daniel Talaván, José Manuel García-Alonso, Antonio Ruiz–Cortés, Juan M. Murillo · 2024 · Journal of Systems and Software
- Quantum computing with trapped ionsHartmut Häffner, Christian F. Roos, Christoph Becher, W. Hänsel, T. Körber, Ferdinand Schmidt‐Kaler, Mark Riebe, Jan Benhelm, Gavin P. T. Lancaster, D. Chek-al-kar et al. · 2006 · European Quantum Electronics Conference (EQEC)
- Quantum dynamic simulations for single molecular magnets using anisotropic spin modelsTakashi Kawakami, Hiroya Nitta, M. Takahata, Mitsuo Shoji, Yasutaka Kitagawa, Masayoshi Nakano, Mitsutaka Okumura, Kizashi Yamaguchi · 2009 · Polyhedron
- Projection of a quantum state on eigenstates of average HamiltonianJae‐Seung Lee, Anatoly K. Khitrin · 2009 · Journal of Magnetic Resonance
- Implementation of a multiple round quantum dense coding using nuclear magnetic resonanceJingfu Zhang, Jingyi Xie, Chuan Xi Wang, Zhiwei Deng, Zhiheng Lu, Guilu Long · 2005 · Science China Physics Mechanics and Astronomy
- Quantum computing measurement and intelligenceZoheir Ezziane · 2009 · International Journal of Quantum Chemistry
- Amplitude damping for single-qubit system with single-qubit mixed-state environmentEylee Jung, Mi-Ra Hwang, You Hwan Ju, Daniel K. Park, Hung-Soo Kim, Min-Soo Kim, Jin-Woo Son · 2008 · Journal of Physics A Mathematical and Theoretical
- Manipulation of quantum information in N@C60 using electron and nuclear magnetic resonanceArzhang Ardavan, John J. L. Morton, Simon C. Benjamin, Kyriakos Porfyrakis, G. A. D. Briggs, Alexei M. Tyryshkin, S. A. Lyon · 2007 · physica status solidi (b)
- OptQC : An optimized parallel quantum compilerT. Loke, Jingbo B. Wang, Y.H. Chen · 2014 · Computer Physics Communications
- PULSED ENDOR-BASED QUANTUM INFORMATION PROCESSINGRobabeh Rahimi, Kazunobu Sato, Ko Furukawa, Kazuo Toyota, Daisuke Shiomi, Toshihiro Nakamura, Masahiro Kitagawa, Takeji Takui · 2005
- Fundamentals of Quantum Computation and Quantum InformationIvan S. Oliveira, Tito José Bonagamba, Roberto S. Sarthour, Jair C. C. Freitas, Eduardo Ribeiro DeAzevedo · 2007 · Elsevier eBooks