Focus on quantum tomography
Open accessAbstract
Quantum tomography has come a long way from early reconstructions of Wigner functions from projections along quadratures to the full characterization of multipartite systems. Now, it is routinely carried out in a wide variety of systems. And yet, many fundamental questions remain unanswered. In recent years, a spate of radical new experimental, theoretical and mathematical developments have occurred. The appeal of the subject lies largely in the breadth of techniques that must be brought together in order to fully understand the problem. This 'focus on' collection provides a platform for facilitating the exchange of ideas between the different communities involved in this process.
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Even if all measurements can be completed, reconstructing the density matrix from measurement data becomes computationally challenging for high qubit-number states.
“Finally, even if all the measurements can be completed, the task of reconstructing the density matrix from measurement data becomes computationally challenging for high qubit-number states.6”
From Scalable on-chip quantum state tomography (2018) · cites this paper as [6]
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References 45 · Cited by 105
Research works printed but not linked: 40
- Vogel K and Risken H 1989 Determination of quasiprobability distributions in terms of probability distributions for the rotated quadrature phase Phys. Rev. A 40 2847-9 · DOI
- Laiho K, Avenhaus M and Silberhorn C 2012 Characteristics of displaced single photons attained via higher order factorial moments New J. Phys. 14 105011 · DOI
- Brańczyk A M, Mahler D H, Rozema L A, Darabi A, Steinberg A M and James D F V 2012 Self-calibrating quantum state tomography New J. Phys. 14 085003 · DOI
- Müller C R, Stoklasa B, Peuntinger C, Gabriel C, Řeháček J, Hradil Z, Klimov A B, Leuchs G, Marquardt Ch and Sánchez-Soto L L 2012 Quantum polarization tomography of bright squeezed light New J. Phys. 14 085002 · DOI
- Chiuri A, Mazzola L, Paternostro M and Mataloni P 2012 Tomographic characterization of correlations in a photonic tripartite state New J. Phys. 14 085006 · DOI
- Wallentowitz S, Seifert B and Godoy S 2012 Local sampling of the quantum phase-space distribution of a continuous-wave optical beam New J. Phys. 14 105019 · DOI
- Bogdanov Yu I, Kalinkin A A, Kulik S P, Moreva E V and Shershulin V A 2013 Quantum polarization transformations in anisotropic dispersive media New J. Phys. 15 035012 · DOI
- Söderholm J, Björk G, Klimov A B, Sánchez-Soto L L and Leuchs G 2012 Quantum polarization characterization and tomography New J. Phys. 14 115014 · DOI
- Sayrin C, Dotsenko I, Gleyzes S, Brune M, Raimond J M and Haroche S 2012 Optimal time-resolved photon number distribution reconstruction of a cavity field by maximum likelihood New J. Phys. 14 115007 · DOI
- Christensen S L, Béguin J B, Sørensen H L, Bookjans E, Oblak D, Müller J H, Appel J and Polzik E S 2013 Toward quantum state tomography of a single polariton state of an atomic ensemble New J. Phys. 15 015002 · DOI
- Rey-de Castro R, Cabrera R, Bondar D I and Rabitz H 2013 Time-resolved quantum process tomography using Hamiltonian-encoding and observable-decoding New J. Phys. 15 025032 · DOI
- Mitchell M W, Koschorreck M, Kubasik M, Napolitano M and Sewell R J 2012 Certified quantum non- demolition measurement of material systems New J. Phys. 14 085021 · DOI
- Gu ťȃ M, Kypraios T and Dryden I 2012 Rank-based model selection for multiple ions quantum tomography New J. Phys. 14 105002 · DOI
- Zhang L, Datta A, Coldenstrodt-Ronge H B, Jin X-M, Eisert J, Plenio M B and Walmsley I A 2012 Recursive quantum detector tomography New J. Phys. 14 115005 · DOI
- Brida et al 2012 Quantum characterization of superconducting photon counters New J. Phys. 14 085001 · DOI
- Anis A and Lvovsky A I 2012 Maximum-likelihood coherent-state quantum process tomography New J. Phys. 14 105021 · DOI
- Häffner H, Hänsel W, Roos C F and Benhelm J 2005 Scalable multiparticle entanglement of trapped ions Nature 438 643-6 · DOI
- Gross D, Liu Y-K, Flammia S T, Becker S and Eisert J 2010 Quantum state tomography via compressed sensing Phys. Rev. Lett. 105 150401 · DOI
- Gross D 2011 Recovering low-rank matrices from few coefficients in any basis IEEE Trans. Inform. Theory 57 1548-66 · DOI
- Flammia S T, Gross D, Liu Y-K and Eisert J 2012 Quantum tomography via compressed sensing: error bounds, sample complexity and efficient estimators New J. Phys. 14 095022 · DOI
- Ohliger M, Nesme V and Eisert J 2013 Efficient and feasible state tomography of quantum many-body systems New J. Phys. 15 015024 · DOI
- Hastings M B 2006 Solving gapped Hamiltonians locally Phys. Rev. B 73 085115 · DOI
- Cramer M, Plenio M B, Flammia S T, Somma R, Gross D, Bartlett S D, Landon-Cardinal O, Poulin D and Liu Y-K 2010 Efficient quantum state tomography Nature Commun. 1 149 · DOI
- Landon-Cardinal O and Poulin D 2012 Practical learning method for multi-scale entangled states New J. Phys. 14 085004 · DOI
- Baumgratz T, Gross D, Cramer M and Plenio M B 2013 Scalable reconstruction of density matrices Phys. Rev. Lett. 111 020401 · DOI
- Baumgratz T, Nüßeler A, Cramer M and Plenio M B 2013 A scalable maximum likelihood method for quantum state tomography New J. Phys. 15 125004 · DOI
- Toth G, Wieczorek W, Gross D, Krischek R, Schwemmer C and Weinfurter H 2010 Permutationally invariant quantum tomography Phys. Rev. Lett. 105 250403 · DOI
- Moroder T, Hyllus P, Tóth G, Schwemmer C, Niggebaum A, Gaile S, Gühne O and Weinfurter H 2012 Permutationally invariant state reconstruction New J. Phys. 14 105001 · DOI
- Chiribella G 2012 Optimal networks for quantum metrology: semidefinite programs and product rules New J. Phys. 14 125008 · DOI
- van Enk S J and Blume-Kohout R 2013 When quantum tomography goes wrong: drift of quantum sources and other errors New J. Phys. 15 025024 · DOI
- Teo Y S, Englert B-G, Řeháček J, Hradil Z and Mogilevtsev D 2012 Verification of state and entanglement with incomplete tomography New J. Phys. 14 105020 · DOI
- Sugiyama T, Turner P S and Murao M 2012 Effect of non-negativity on estimation errors in one-qubit state tomography with finite data New J. Phys. 14 085005 · DOI
- Langford N K 2013 Errors in quantum tomography: diagnosing systematic versus statistical errors New J. Phys. 15 035003 · DOI
- Ng H K, Phuah K T B and Englert B-G 2012 Minimax mean estimator for the trine New J. Phys. 14 085007 · DOI
- Gendra B, Ronco-Bonvehi E, Calsamiglia J, Muñoz-Tapia R and Bagan E 2012 Beating noise with abstention in state estimation New J. Phys. 14 105015 · DOI
- Glancy S, Knill E and Girard M 2012 Gradient-based stopping rules for maximum-likelihood quantum-state tomography New J. Phys. 14 095017 · DOI
- Christandl M and Renner R 2012 Reliable quantum state tomography Phys. Rev. Lett. 109 120403 · DOI
- Blume-Kohout R 2010 Optimal, reliable estimation of quantum states New J. Phys. 12 043034 · DOI
- Mogilevtsev D, Řeháček J and Hradil Z 2012 Self-calibration for self-consistent tomography New J. Phys. 14 095001 · DOI
- Mogilevtsev D, Ignatenko A, Maloshtan A, Stoklasa B, Rehacek J and Hradil Z 2013 Data pattern tomography: reconstruction with an unknown apparatus New J. Phys. 15 025038 · DOI
- Authors
- Banaszek, K., Cramer, M., & Gross, D.
- Affiliations
- University of Warsaw (PL)
- Universität Ulm (DE)
- University of Freiburg (DE)
- Corresponding author
- Cramer, M
- ORCID
- Venue
- New Journal of Physics
- Publisher
- IOP Publishing
- Published
- 2013-12-13
- Volume
- 15
- Issue
- 12
- Pages
- 125020
- ISSN
- 1367-2630 (ISSN-L)
- OpenAlex
- W2063059850
- Cited by
- 105
- References
- 45
- Citations by year
- 2026: 7 · 2025: 10 · 2024: 11 · 2023: 11 · 2022: 17 · 2021: 11 · 2020: 8 · 2019: 6 · 2018: 3 · 2017: 6 · 2016: 7 · 2015: 5 · 2014: 2 · 2013: 1
- FWCI
- 5.53
- Type
- journal article
- Language
- en
- Open access
- gold
- doi.org
- Licence
- Locations
- New Journal of Physics (publishedVersion, cc-by)
- DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion)
- OPen Access Repositorium der Universität Ulm (OPARU) (Ulm University) (submittedVersion, cc-by)
- Universität Ulm, Kommunikations- und Informationszentrum (kiz) (cc-by)
- Topics
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Information and Cryptography
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
- Keywords
- quantum state tomography, multipartite quantum systems, quantum state characterization, quantum information
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