Bulletin of the American Physical Society
APS March Meeting 2020
Volume 65, Number 1
Monday–Friday, March 2–6, 2020; Denver, Colorado
Session U38: Landauer and Bennett Award Session: Quantum Resource Theories and Thermodynamics
2:30 PM–5:18 PM,
Thursday, March 5, 2020
Room: 607
Sponsoring
Unit:
DQI
Chair: Todd Brun, Univ of Southern California
Abstract: U38.00006 : Coherence cost for measurement and computation under conservation laws
Presenter:
Hiroyasu Tajima
(Kyoto Univ)
Authors:
Hiroyasu Tajima
(Kyoto Univ)
Naoto Shiraishi
(Gakushuin university)
Keiji Saito
(Keio university)
Hiroshi Nagaoka
(The University of Electro-Communications)
One of the open problems in this field is to clarify the amount of required resource for implementing unitary operations and measurements under conservation laws.
Here, we provide a solution to this open problem.
We derive two asymptotically exact equalities that clarify the necessary and sufficient amount of quantum coherence as a resource to implement an arbitrary unitary operation and a measurement for arbitrary physical quantities within a desired error, respectively.
This work provides an optimal improvement of the Wigner-Araki-Yanase-Ozawa theorem and a proof of the long standing conjecture that WAY-type tradeoff relation holds for the implementation of an arbitrary unitary channel under conservation laws.
It also clarifies the key question of the resource theory of the quantum channels in the region of resource theory of
asymmetry, for the case of unitary channels.
The technical details of this work are in [PRL \textbf{121}, 110403], [arXiv:1906.04076] and [arXiv:1909.02904].
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