Multivariate trace estimation in constant quantum depth
暂无分享,去创建一个
[1] Xin Wang,et al. Quantum Algorithms for Estimating Quantum Entropies , 2022, Physical Review Applied.
[2] A. Gheorghiu,et al. Depth-efficient proofs of quantumness , 2021, Quantum.
[3] S. Lloyd,et al. Quantum algorithm for Petz recovery channels and pretty good measurements , 2020, Physical review letters.
[4] Daniel J. Brod,et al. Measuring relational information between quantum states, and applications , 2021, New Journal of Physics.
[5] C. Branciard,et al. Quantum Fisher Information from Randomized Measurements. , 2021, Physical review letters.
[6] Ranyiliu Chen,et al. Variational quantum algorithms for trace distance and fidelity estimation , 2020, Quantum Science and Technology.
[7] Yiğit Subaşı,et al. Qubit-efficient entanglement spectroscopy using qubit resets , 2020, Quantum.
[8] Min-Hsiu Hsieh,et al. Quantum algorithm for estimating α -Renyi entropies of quantum states , 2019, Physical Review A.
[9] Alessandro Luongo,et al. Quantum algorithms for spectral sums , 2020, ArXiv.
[10] R. Kueng,et al. Predicting many properties of a quantum system from very few measurements , 2020, Nature Physics.
[11] Kunal Sharma,et al. Noise resilience of variational quantum compiling , 2019, New Journal of Physics.
[12] Tongyang Li,et al. Distributional property testing in a quantum world , 2019, ITCS.
[13] Nirmal V. Shende,et al. Estimating Quantum Entropy , 2017, IEEE Journal on Selected Areas in Information Theory.
[14] John C. Platt,et al. Quantum supremacy using a programmable superconducting processor , 2019, Nature.
[15] Avishay Tal,et al. Exponential separation between shallow quantum circuits and unbounded fan-in shallow classical circuits , 2019, STOC.
[16] Ryan LaRose,et al. Quantum-assisted quantum compiling , 2018, Quantum.
[17] Patrick J. Coles,et al. Entanglement spectroscopy with a depth-two quantum circuit , 2018, Journal of Physics A: Mathematical and Theoretical.
[18] Peter Zoller,et al. Probing Rényi entanglement entropy via randomized measurements , 2018, Science.
[19] Nathan Wiebe,et al. Quantum singular value transformation and beyond: exponential improvements for quantum matrix arithmetics , 2018, STOC.
[20] Jeongho Bang,et al. Learning unknown pure quantum states , 2018, Physical Review A.
[21] J. Cirac,et al. Unitary n -designs via random quenches in atomic Hubbard and spin models: Application to the measurement of Rényi entropies , 2018, 1801.00999.
[22] J I Cirac,et al. Rényi Entropies from Random Quenches in Atomic Hubbard and Spin Models. , 2017, Physical review letters.
[23] Matthias Troyer,et al. Entanglement spectroscopy on a quantum computer , 2017, 1707.07658.
[24] Himanshu Tyagi,et al. Estimating Renyi Entropy of Discrete Distributions , 2014, IEEE Transactions on Information Theory.
[25] Yanjun Han,et al. Maximum Likelihood Estimation of Functionals of Discrete Distributions , 2014, IEEE Transactions on Information Theory.
[26] Shayne Waldron,et al. A Characterization of Projective Unitary Equivalence of Finite Frames and Applications , 2016, SIAM J. Discret. Math..
[27] Yihong Wu,et al. Minimax Rates of Entropy Estimation on Large Alphabets via Best Polynomial Approximation , 2014, IEEE Transactions on Information Theory.
[28] Yanjun Han,et al. Minimax Estimation of Functionals of Discrete Distributions , 2014, IEEE Transactions on Information Theory.
[29] E. Mucciolo,et al. Emergent irreversibility and entanglement spectrum statistics. , 2013, Physical review letters.
[30] S. J. van Enk,et al. Measuring Trρn on single copies of ρ using random measurements. , 2012, Physical review letters.
[31] A Sanpera,et al. Entanglement spectrum, critical exponents, and order parameters in quantum spin chains. , 2011, Physical review letters.
[32] J. Eisert,et al. Colloquium: Area laws for the entanglement entropy , 2010 .
[33] X. Qi,et al. Entanglement entropy and entanglement spectrum of the Kitaev model. , 2010, Physical review letters.
[34] Frank Pollmann,et al. Entanglement spectrum of a topological phase in one dimension , 2009, 0910.1811.
[35] L. Fidkowski. Entanglement spectrum of topological insulators and superconductors. , 2009, Physical review letters.
[36] D. Gottesman. An Introduction to Quantum Error Correction and Fault-Tolerant Quantum Computation , 2009, 0904.2557.
[37] A. Harrow,et al. Quantum algorithm for linear systems of equations. , 2008, Physical review letters.
[38] Hui Li,et al. Entanglement spectrum as a generalization of entanglement entropy: identification of topological order in non-Abelian fractional quantum Hall effect states. , 2008, Physical review letters.
[39] Ben Reichardt,et al. Fault-Tolerant Quantum Computation , 2016, Encyclopedia of Algorithms.
[40] D. Petz,et al. Contractivity of positive and trace-preserving maps under Lp norms , 2006, math-ph/0601063.
[41] Todd A. Bruni. Measuring polynomial functions of states , 2004, Quantum Inf. Comput..
[42] M. S. Leifer,et al. Measuring polynomial invariants of multiparty quantum states , 2003, quant-ph/0308008.
[43] M. Horodecki,et al. Direct estimations of linear and nonlinear functionals of a quantum state. , 2001, Physical review letters.
[44] P. Horodecki,et al. Method for direct detection of quantum entanglement. , 2001, Physical review letters.
[45] I. Chuang,et al. Quantum Digital Signatures , 2001, quant-ph/0105032.
[46] R. Cleve,et al. Quantum fingerprinting. , 2001, Physical review letters.
[47] T. Beth,et al. Cyclic quantum error–correcting codes and quantum shift registers , 1999, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.
[48] N. Fisher,et al. Probability Inequalities for Sums of Bounded Random Variables , 1994 .
[49] M. Mézard,et al. Spin Glass Theory and Beyond , 1987 .
[50] D. Petz. Quasi-entropies for finite quantum systems , 1986 .
[51] D. Petz. Quasi-entropies for States of a von Neumann Algebra , 1985 .
[52] V. Bargmann. NOTE ON WIGNER'S THEOREM ON SYMMETRY OPERATIONS , 1964 .