Universally Optimal Verification of Entangled States with Nondemolition Measurements
- 4 March 2021
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 126 (9), 090504
- https://doi.org/10.1103/physrevlett.126.090504
Abstract
The efficient and reliable characterization of quantum states plays a vital role in most, if not all, quantum information processing tasks. In this work, we present a universally optimal protocol for verifying entangled states by employing the so-called quantum nondemolition measurements, such that the verification efficiency is equivalent to that of the optimal global strategy. Instead of being probabilistic as the standard verification strategies, our protocol is constructed sequentially, which is thus more favorable for experimental realizations. In addition, the target states are preserved in the protocol after each measurement, so can be reused in any subsequent tasks. We demonstrate the power of our protocol for the optimal verification of Bell states, arbitrary two-qubit pure states, and stabilizer states. We also prove that our protocol is able to perform tasks including fidelity estimation and state preparation.Funding Information
- National Key R&D Program of China (2017YFA0303800)
- National Natural Science Foundation of China (11574031, 61421001, 11805010)
- Beijing Institute of Technology
- Ministry of Education - Singapore
- National Research Foundation Singapore
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