Unambiguous comparison of ensembles of quantum states
Michal Sedlak, Mario Ziman, Vladimir Buzek, and Mark Hillery
TL;DR
This paper introduces optimal methods for unambiguously comparing two ensembles of unknown quantum states, providing solutions for both qudit states and harmonic oscillator coherent states, including an experimental setup for the latter.
Contribution
It offers the first optimal unambiguous comparison strategies for ensembles of unknown quantum states, with a practical implementation for coherent states.
Findings
Optimal comparison strategies for qudit states.
Experimental design for coherent state comparison.
Enhanced understanding of quantum state discrimination.
Abstract
We present a solution of the problem of the optimal unambiguous comparison of two ensembles of unknown quantum states (psi_1)^k and (psi_2)^l. We consider two cases: 1) The two unknown states psi_1 and psi_2 are arbitrary states of qudits. 2) Alternatively, they are coherent states of a harmonic oscillator. For the case of coherent states we propose a simple experimental realization of the optimal "comparison" machine composed of a finite number of beam-splitters and a single photodetector.
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