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Efficient qubit phase estimation using adaptive measurements
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DOI：10.22331/q-2021-06-04-467.png)
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Estimating correctly the quantum phase of a physical system is a central problem in quantum parameter estimation theory due to its wide range of applications from quantum metrology to cryptography. Ideally, the optimal quantum estimator is given by the so-called quantum Cramer-Rao bound, so any measurement strategy aims to obtain estimations as close as possible to it. However, more often than not, the current state-of-the-art methods to estimate quantum phases fail to reach this bound as they rely on maximum likelihood estimators of non-identifiable likelihood functions. In this work we thoroughly review various schemes for estimating the phase of a qubit, identifying the underlying problem which prohibits these methods to reach the quantum Cramer-Rao bound, and propose a new adaptive scheme based on covariant measurements to circumvent this problem. Our findings are carefully checked by Monte Carlo simulations, showing that the method we propose is both mathematically and experimentally more realistic and more efficient than the methods currently available.
Keyword:
QUANTUM ESTIMATION
期刊
IF:
5.4
论文数:
951
被引数:
1.0W
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引用论文
Quantum optical metrology - the lowdown on high-N00N states量子光学计量学-high-N00N状态的下降.png)
CONTEMPORARY PHYSICS
CONTEMPORARY PHYSICSIF3.3
PREAI
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