Random unitary maps for quantum state reconstruction

Keywords

Mathematics, Hermitian matrix, Random matrix, Hilbert space, Operator (biology)

References

• The learnability of quantum statesScott Aaronson — 2006
• Exact and approximate unitary 2-designs and their application to fidelity estimationChristoph Dankert, Richard Cleve, Joseph Emerson — 2006
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• Unitary designs and codesAidan Roy, A.J. Scott — 2008
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• Entangling power of the quantum baker's mapA J Scott, Carlton M Caves — 2003
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• Quantum state reconstruction via continuous measurement.Andrew Silberfarb, Poul Jessen, Ivan Deutsch — 2004
• Evenly distributed unitaries: On the structure of unitary designsD. Gross, Katrien Audenaert, Jens Eisert — 2006
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• Semidefinite ProgrammingLieven Vandenberghe, Stephen Boyd — 1996
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• Matrix AnalysisRoger A. Horn, Charles R. Johnson — 1985

Cited by

• Chaos in the BrainJan Křı́ž — 2011
• Spectral thresholding quantum tomography for low rank statesCristina Butucea, Mădălin Guţă, Theodore Kypraios — 2015
• Rank-based model selection for multiple ions quantum tomographyMădălin Guţǎ, Theodore Kypraios, Ian L. Dryden — 2012
• Efficient and feasible state tomography of quantum many-body systemsMatthias Ohliger, Vincent Nesme, Jens Eisert — 2012
• Quantum tomography of the full hyperfine manifold of atomic spins via continuous measurement on an ensembleCarlos A. Riofrío, Poul Jessen, Ivan Deutsch — 2010
• Brownian motion on Lie groups and open quantum systemsPaolo Aniello, Andrzej Kossakowski, G. Marmo — 2010
• Generation and detection of NOON states in superconducting circuitsSeth T Merkel, Frank K Wilhelm — 2010
• Quantum tomography via compressed sensing: error bounds, sample complexity and efficient estimatorsSteven T. Flammia, David Groß, Yi-Kai Liu — 2012
• Guaranteed recovery of quantum processes from few measurementsMartin Kliesch, Richard Kueng, Jens Eisert — 2017
• Quantum read-out for cold atomic quantum simulatorsMarek Gluza, Thomas Schweigler, Bernhard Rauer — 2018
• Complete Quantum-State Tomography with a Local Random Field.Pengcheng Yang, Min Yu, Ralf Betzholz — 2019
• Continuous Measurement Quantum State Tomography of Atomic EnsemblesRiofrio Almeida, A R Carlos — 2011
• Drawing together control landscape and tomography principlesChristian Arenz, Herschel Rabitz — 2020
• Quantum state tomography with informationally complete POVMs generated in the time domainArtur Czerwiński — 2020
• Review: Characterizing and quantifying quantum chaos with quantum tomographyVAIBHAV MADHOK, CARLOS A RIOFRÍO, IVAN H DEUTSCH — 2015
• Quantum tomography with random diagonal unitary maps and statistical bounds on information generation using random matrix theorySreeram PG, Vaibhav Madhok — 2021
• Quantum tomography of entangled qubits by time-resolved single-photon counting with time-continuous measurementsArtur Czerwiński — 2021
• Entanglement Estimation in Tensor Network States via SamplingNoa Feldman, Augustine Kshetrimayum, Jens Eisert — 2022
• Effect of chaos on information gain in quantum tomography.Abinash Sahu, Sreeram PG, Vaibhav Madhok — 2022
• Selected Concepts of Quantum State TomographyArtur Czerwiński — 2022

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