arXiv Analytics

Sign in

arXiv:2302.01325 [quant-ph]AbstractReferencesReviewsResources

Certification of entangled quantum states and quantum measurements in Hilbert spaces of arbitrary dimension

Shubhayan Sarkar

Published 2023-02-02Version 1

The emergence of quantum theory at the beginning of 20$-th$ century has changed our view of the microscopic world and has led to applications such as quantum teleportation, quantum random number generation and quantum computation to name a few, that could never have been realised using classical systems. One such application that has attracted considerable attention lately is device-independent (DI) certification of composite quantum systems. The basic idea behind it is to treat a given device as a black box that given some input generates an output, and then to verify whether it works as expected by only studying the statistics generated by this device. The novelty of these certification schemes lies in the fact that one can almost completely characterise the device (up to certain equivalences) under minimal physically well-motivated assumptions such as that the device is described using quantum theory. The resource required in most of these certification schemes is quantum non-locality. In this thesis, we construct schemes to device-independently certify quantum states and quantum measurements in Hilbert spaces of arbitrary dimension along with the optimal amount randomness that one can extract from any quantum system of arbitrary dimension.

Comments: Doctoral thesis accepted at CFT PAN based on four papers (i) npj Quantum Information, 7, 151 (2021) (ii) Phys. Rev. A, 105, 032416 (2022) (iii) Phys. Rev. A, 106, L040402(2022) (iv) arXiv:2110.15176(2021)
Categories: quant-ph
Related articles: Most relevant | Search more
arXiv:1008.0843 [quant-ph] (Published 2010-08-04)
Minimum-error discrimination of entangled quantum states
arXiv:quant-ph/0508197 (Published 2005-08-26)
Information transmission via entangled quantum states in Gaussian channels with memory
arXiv:1609.02797 [quant-ph] (Published 2016-09-09)
Staking out the physical sectors of Hilbert spaces