Access the full text.
Sign up today, get DeepDyve free for 14 days.
Loading next page...
/lp/wiley/pure-state-tomography-with-fourier-transformation-4qVirveHhu
References (52)
-
J. Lundeen, B. Sutherland, Aabid Patel, C. Stewart, C. Bamber (2011)
Direct measurement of the quantum wavefunctionNature, 474
-
Charles Bennett, S. Wiesner (1992)
Communication via one- and two-particle operators on Einstein-Podolsky-Rosen states.Physical review letters, 69 20
-
Charles Bennett, G. Brassard, C. Crépeau, R. Jozsa, A. Peres, W. Wootters (1993)
Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels.Physical review letters, 70 13
-
C. Carmeli, Teiko Heinosaari, M. Kech, Jussi Schultz, A. Toigo (2016)
Stable pure state quantum tomography from five orthonormal basesEurophysics Letters, 115
-
J. Corbett (2006)
The pauli problem, state reconstruction and quantum-real numbersReports on Mathematical Physics, 57
-
A. Harrow, A. Hassidim, S. Lloyd (2008)
Quantum algorithm for linear systems of equations.Physical review letters, 103 15
-
U. Leonhardt (1995)
Quantum-state tomography and discrete Wigner function.Physical review letters, 74 21
-
Lov Grover (1997)
Quantum computers can search arbitrarily large databases by a single queryPhysical Review Letters, 79
-
R. Islam, R. Ma, P. Preiss, M. Tai, A. Lukin, M. Rispoli, M. Greiner (2015)
Measuring entanglement entropy in a quantum many-body systemNature, 528
-
M. Riebe, M. Chwalla, J. Benhelm, Hartmut Häffner, W. Hänsel, C. Roos, Rainer Blatt (2007)
Quantum teleportation with atoms: quantum process tomographyNew Journal of Physics, 9
-
I. Chuang, L. Vandersypen, Xinlan Zhou, D. Leung, S. Lloyd (1998)
Experimental realization of a quantum algorithmNature, 393
-
J. Eisert, D. Hangleiter, N. Walk, I. Roth, D. Markham, Rhea Parekh, Ulysse Chabaud, E. Kashefi (2019)
Quantum certification and benchmarkingNature Reviews Physics, 2
-
Vogel, Risken (1989)
Determination of quasiprobability distributions in terms of probability distributions for the rotated quadrature phase.Physical review. A, General physics, 40 5
-
(1985)
Found -
M. Steffen, M. Ansmann, R. Bialczak, N. Katz, E. Lucero, R. McDermott, M. Neeley, E. Weig, A. Cleland, J. Martinis (2006)
Measurement of the Entanglement of Two Superconducting Qubits via State TomographyScience, 313
-
Shanchao Zhang, Yiru Zhou, Yefeng Mei, K. Liao, Yongli Wen, Jian-Feng Li, Xin-Ding Zhang, S. Du, Hui Yan, Shi-Liang Zhu (2019)
δ-Quench Measurement of a Pure Quantum-State Wave Function.Physical review letters, 123 19
-
Yuan-Yuan Zhao, Nengkun Yu, P. Kurzyński, G. Xiang, Chuan‐Feng Li, G. Guo (2015)
Experimental realisation of generalised qubit measurements based on quantum walksarXiv: Quantum Physics
-
A. Ekert (1991)
Quantum cryptography based on Bell's theorem.Physical review letters, 67 6
-
D. Oren, Maor Mutzafi, Yonina Eldar, M. Segev (2017)
Quantum state tomography with a single measurement setup, 4
-
S. Flammia, A. Silberfarb, C. Caves (2004)
Minimal Informationally Complete Measurements for Pure StatesFoundations of Physics, 35
-
J. Finkelstein (2004)
Pure-state informationally complete and "really" complete measurements (3 pages)Physical Review A, 70
-
L. Calderaro, G. Foletto, D. Dequal, P. Villoresi, G. Vallone (2018)
Direct Reconstruction of the Quantum Density Matrix by Strong Measurements.Physical review letters, 121 23
-
R. Trebino (2000)
Frequency-Resolved Optical Gating: The Measurement of Ultrashort Laser Pulses -
Teiko Heinosaari, L. Mazzarella, M. Wolf (2011)
Quantum Tomography under Prior InformationCommunications in Mathematical Physics, 318
-
was also supported by the Major Key Project of PCL. * likr@pcl -
G. Torlai, G. Mazzola, J. Carrasquilla, M. Troyer, R. Melko, Giuseppe Carleo (2017)
Neural-network quantum state tomographyNature Physics, 14
-
A. Barenco, C. Bennett, R. Cleve, D. DiVincenzo, N. Margolus, P. Shor, T. Sleator, J. Smolin, H. Weinfurter (1995)
Elementary gates for quantum computation.Physical review. A, Atomic, molecular, and optical physics, 52 5
-
Yu Wang, Yun Shang (2017)
Pure state ‘really’ informationally complete with rank-1 POVMQuantum Information Processing, 17
-
D. Deutsch, R. Jozsa (1992)
Rapid solution of problems by quantum computationProceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences, 439
-
(2005)
G.White, in Asymptotic Theory of Quantum Statistical Inference: Selected Papers (Ed: M -
Chao Song, Kai Xu, Wuxin Liu, Chuiping Yang, Shi-Biao Zheng, H. Deng, Q. Xie, K. Huang, Qiujiang Guo, Libo Zhang, Pengfei Zhang, Da Xu, D. Zheng, Xiaobo Zhu, H. Wang, Y.-A. Chen, C.-Y. Lu, Siyuan Han, Jian-Wei Pan (2017)
10-Qubit Entanglement and Parallel Logic Operations with a Superconducting Circuit.Physical review letters, 119 18
-
A. White, D. James, P. Eberhard, Paul Division, P. Division, T. Laboratory, U. California (1999)
Nonmaximally Entangled States: Production, Characterization, and UtilizationPhysical Review Letters, 83
-
A. Peres, P. Scudo, Daniel Terno (2002)
Quantum entropy and special relativity.Physical review letters, 88 23
-
Harry Buhrman (2018)
Quantum communicationPrinciples of Quantum Computation and Information
-
G. Thekkadath, L. Giner, Y. Chalich, Matthew Horton, J. Banker, Jeff Lundeen (2016)
Direct Measurement of the Density Matrix of a Quantum System.Physical review letters, 117 12
-
Jianxin Chen, Hillary Dawkins, Zhengfeng Ji, N. Johnston, D. Kribs, F. Shultz, B. Zeng (2012)
Uniqueness of quantum states compatible with given measurement resultsPhysical Review A, 88
-
B.Z.Moroz, A.M.Perelomov (2001)
On a problem posed by Pauli -
D. James, P. Kwiat, W. Munro, A. White (2001)
On the measurement of qubits -
N. Mermin (1997)
Quantum theory: Concepts and methodsStudies in History and Philosophy of Modern Physics, 28
-
D. Deutsch (1985)
Quantum theory, the Church–Turing principle and the universal quantum computerProceedings of the Royal Society of London. A. Mathematical and Physical Sciences, 400
-
Gilles Brassard, Claude Crépeau (2005)
Quantum Cryptography -
M. Baur, A. Fedorov, L. Steffen, S. Filipp, M. Silva, A. Wallraff (2012)
Benchmarking a quantum teleportation protocol in superconducting circuits using tomography and an entanglement witness.Physical review letters, 108 4
-
B. Moroz (1983)
Reflections on quantum logicInternational Journal of Theoretical Physics, 22
-
W. Pauli (1990)
Die allgemeinen Prinzipien der Wellenmechanik, 2
-
A. Marlow (1978)
Mathematical foundations of quantum theory -
P. Shor (1994)
Algorithms for quantum computation: discrete logarithms and factoringProceedings 35th Annual Symposium on Foundations of Computer Science
-
Qiang Liu, Tao Han (2018)
DirectDefinitions
-
L. Zambrano, L. Pereira, D. Mart'inez, G. Cañas, G. Lima, A. Delgado (2020)
Estimation of Pure States Using Three Measurement BasesarXiv: Quantum Physics
-
D. Goyeneche, G. Cañas, S. Etcheverry, E. Gómez, G. Xavier, G. Lima, A. Delgado (2014)
Five Measurement Bases Determine Pure Quantum States on Any Dimension.Physical review letters, 115 9
-
Philippe Jaming (2014)
Uniqueness results in an extension of Pauli's phase retrieval problemApplied and Computational Harmonic Analysis, 37
-
A. Vogt (1978)
POSITION AND MOMENTUM DISTRIBUTIONS DO NOT DETERMINE THE QUANTUM MECHANICAL STATE -
J. Lundeen, C. Bamber (2011)
Procedure for direct measurement of general quantum states using weak measurement.Physical review letters, 108 7
- Publisher
- Wiley
- Copyright
- © 2022 Wiley‐VCH GmbH
- eISSN
- 2511-9044
- DOI
- 10.1002/qute.202100091
- Publisher site
- See Article on Publisher Site
Abstract
Extracting information from quantum devices has long been a crucial problem in the field of quantum mechanics. By performing elaborate measurements, quantum state tomography, an important and fundamental tool in quantum science and technology, can be used to determine unknown quantum states completely. In this study, methods to determine multi‐qubit pure quantum states uniquely and directly are explored. Two adaptive protocols are proposed, with their respective quantum circuits. Herein, two or three observables are sufficient, while the number of measurement outcomes are either the same as or fewer than those in existing methods. Additionally, experiments on the IBM 5‐qubit quantum computer, as well as numerical investigations, demonstrate the feasibility of the proposed protocols.
Journal
Advanced Quantum Technologies – Wiley
Published: Aug 1, 2022
Keywords: Fourier transformation; N ‐qubit pure state; projective measurements; quantum circuits; quantum state tomography