Quantum state discrimination and its applications

J Bae, LC Kwek - Journal of Physics A: Mathematical and …, 2015 - iopscience.iop.org
Quantum state discrimination underlies various applications in quantum information
processing tasks. It essentially describes the distinguishability of quantum systems in …

Quantum state discrimination

SM Barnett, S Croke - Advances in Optics and Photonics, 2009 - opg.optica.org
It is a fundamental consequence of the superposition principle for quantum states that there
must exist nonorthogonal states, that is, states that, although different, have a nonzero …

Quantum and relativistic protocols for secure multi-party computation

R Colbeck - arXiv preprint arXiv:0911.3814, 2009 - arxiv.org
After a general introduction, the thesis is divided into four parts. In the first, we discuss the
task of coin tossing, principally in order to highlight the effect different physical theories have …

Discrimination of quantum states

JA Bergou - Journal of Modern Optics, 2010 - Taylor & Francis
In quantum information processing and quantum computing protocols the carrier of
information is a quantum system and information is encoded in the state of a quantum …

Designing optimal quantum detectors via semidefinite programming

YC Eldar, A Megretski… - IEEE Transactions on …, 2003 - ieeexplore.ieee.org
We consider the problem of designing an optimal quantum detector to minimize the
probability of a detection error when distinguishing among a collection of quantum states …

A semidefinite programming approach to optimal unambiguous discrimination of quantum states

YC Eldar - IEEE Transactions on information theory, 2003 - ieeexplore.ieee.org
We consider the problem of unambiguous discrimination between a set of linearly
independent pure quantum states. We show that the design of the optimal measurement that …

Optimal entanglement witnesses for continuous-variable systems

P Hyllus, J Eisert - New Journal of Physics, 2006 - iopscience.iop.org
This paper is concerned with all tests for continuous-variable entanglement that arise from
linear combinations of second moments or variances of canonical coordinates, as they are …

11 discrimination of quantum states

JA Bergou, U Herzog, M Hillery - Quantum state estimation, 2004 - Springer
The problem of discriminating among given nonorthogonal quantum states is underlying
many of the schemes that have been suggested for quantum communication and quantum …

Semi-definite programming and quantum information

P Mironowicz - Journal of Physics A: Mathematical and …, 2024 - iopscience.iop.org
This paper presents a comprehensive exploration of semi-definite programming (SDP)
techniques within the context of quantum information. It examines the mathematical …

Optimal discrimination of mixed quantum states involving inconclusive results

J Fiurášek, M Ježek - Physical Review A, 2003 - APS
We propose a generalized discrimination scheme for mixed quantum states. In the present
scenario we allow for certain fixed fraction of inconclusive results and we maximize the …