Quantum hypothesis testing—the task of distinguishing quantum states—enjoys surprisingly deep connections with the theory of entanglement. Recent findings have reopened the biggest questions in hypothesis testing and reversible entanglement manipulation.
This is a preview of subscription content, access via your institution
Relevant articles
Open Access articles citing this article.
-
Reversibility of quantum resources through probabilistic protocols
Nature Communications Open Access 17 April 2024
-
Entanglement Monogamy via Multivariate Trace Inequalities
Communications in Mathematical Physics Open Access 01 February 2024
Access options
Access Nature and 54 other Nature Portfolio journals
Get Nature+, our best-value online-access subscription
$29.99 / 30 days
cancel any time
Subscribe to this journal
Receive 12 print issues and online access
$209.00 per year
only $17.42 per issue
Buy this article
- Purchase on Springer Link
- Instant access to full article PDF
Prices may be subject to local taxes which are calculated during checkout
References
Lieb, E. H. & Yngvason, J. Phys. Rep. 310, 1–96 (1999).
Horodecki, M., Oppenheim, J. & Horodecki, R. Phys. Rev. Lett. 89, 240403 (2002).
Bennett, C. H., Bernstein, H. J., Popescu, S. & Schumacher, B. Phys. Rev. A 53, 2046 (1996).
Vidal, G. & Cirac, J. I. Phys. Rev. Lett. 86, 5803 (2001).
Audenaert, K., Plenio, M. B. & Eisert, J. Phys. Rev. Lett. 90, 027901 (2003).
Plenio, M. B. Problem 20. In preprint at http://arxiv.org/abs/quant-ph/0504166 (eds Krueger, O. & Werner, R. F.) (2005).
Brandão, F. G. S. L. & Plenio, M. B. Commun. Math. Phys. 295, 791–828 (2010).
Brandão, F. G. S. L. & Plenio, M. B. Commun. Math. Phys. 295, 829–851 (2010).
Hiai, F. & Petz, D. Commun. Math. Phys. 143, 99–114 (1991).
Berta, M. et al. Quantum 7, 1103 (2023).
Lami, L. & Regula, B. No second law of entanglement manipulation after all. Nat. Phys. 19, 184–189 (2023); https://doi.org/10.1038/s41567-022-01873-9.
Brandão, F. G. S. L. & Gour, G. Phys. Rev. Lett. 115, 070503 (2015).
Author information
Authors and Affiliations
Corresponding authors
Ethics declarations
Competing interests
The authors declare no competing interests.
Rights and permissions
About this article
Cite this article
Berta, M., Brandão, F.G.S.L., Gour, G. et al. The tangled state of quantum hypothesis testing. Nat. Phys. 20, 172–175 (2024). https://doi.org/10.1038/s41567-023-02289-9
Published:
Issue Date:
DOI: https://doi.org/10.1038/s41567-023-02289-9
This article is cited by
-
Reversibility of quantum resources through probabilistic protocols
Nature Communications (2024)
-
Entanglement Monogamy via Multivariate Trace Inequalities
Communications in Mathematical Physics (2024)