Statistical quantum operation
Sumiyoshi Abe (1,2,3), Yuichi Itto (1), Mamoru Matsunaga (1) ((1) Mie, University, Mie, Japan, (2) ISMANS, Le Mans, France, (3) Inspire Institute, Inc., VA, USA)
TL;DR
This paper introduces a general quantum operation that can transform pure states into arbitrary mixed states, including thermal states, and analyzes the associated entropy and thermalization processes in bipartite spin systems.
Contribution
It presents a universal unital POVM capable of inducing any statistical state from a pure state, enabling operational realization of thermalization.
Findings
The operation achieves perfect decoherence and state transformation.
Entropy increase quantifies information loss during the process.
Thermalization in bipartite spin-1/2 systems is demonstrated.
Abstract
A generic unital positive operator-valued measure (POVM), which transforms a given stationary pure state to an arbitrary statistical state with perfect decoherence, is presented. This allows one to operationally realize thermalization as a special case. The loss of information due to randomness generated by the operation is discussed by evaluating the entropy. Thermalization of the bipartite spin-1/2 system is discussed as an illustrative example.
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