Abstracts

Demonstration of Optimal Non-Projective Measurements of Binary Coherent States with Photon Counting

Presenting Author: Matt DiMario, University of Maryland Joint Quantum Institute and National Institute of Standards and Technology, Maryland
Contributing Author(s): Elohim Becerra

Quantum state discrimination is a central problem in quantum measurement theory, with applications spanning from quantum communication to computation. Typical measurement paradigms for state discrimination involve minimum probability of error or unambiguous discrimination with minimum probability of inconclusive results. Alternatively, an optimal inconclusive measurement, a non-projective measurement, achieves minimal error for a given inconclusive probability. This more general measurement encompasses the standard measurement paradigms for state discrimination and provides a much more powerful tool for quantum information and communication. Here, we experimentally demonstrate the optimal inconclusive measurement for the discrimination of binary coherent states based on the proposal in [PRA 86, 052323 (2012)] using linear optics and photon counting. Our demonstration uses coherent displacement operations based on interference, single photon counting, and fast feedback to prepare the optimal feedback policy for the optimal non-projective quantum measurement with high fidelity. This generalized measurement allows us to transition among standard measurement paradigms in an optimal way from minimum error to unambiguous measurements for binary coherent states. We also implement the optimal minimum error measurement for phase coherent states, and propose how to leverage the binary optimal inconclusive measurement for higher dimensional inconclusive discrimination.

(Session 5 : Thursday from 12:00pm-2:00 pm)

 

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Akimasa Miyake, Associate Professor
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SQuInT Co-Organizer
Brian Smith, Associate Professor
bjsmith@uoregon.edu

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Pablo Poggi, Research Assistant Professor
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Cunlu Zhou, Postdoc

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