Maximal Quantum Fisher Information for Mixed States

被引：51

作者：

Fiderer, Lukas J. ^{[1
]}

Fraisse, Julien M. E. ^{[2
]}

Braun, Daniel ^{[1
]}

机构：

[1] Eberhard Karls Univ Tubingen, Inst Theoret Phys, D-72076 Tubingen, Germany

[2] Seoul Natl Univ, Ctr Theoret Phys, Dept Phys & Astron, Seoul 151747, South Korea

来源：

PHYSICAL REVIEW LETTERS | 2019年 / 123卷 / 25期

关键词：

LIMIT;

D O I：

10.1103/PhysRevLett.123.250502

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study quantum metrology for unitary dynamics. Analytic solutions are given for both the optimal unitary state preparation starting from an arbitrary mixed state and the corresponding optimal measurement precision. This represents a rigorous generalization of known results for optimal initial states and upper bounds on measurement precision which can only be saturated if pure states are available. In particular, we provide a generalization to mixed states of an upper bound on measurement precision for time-dependent Hamiltonians that can be saturated with optimal Hamiltonian control. These results make precise and reveal the full potential of mixed states for quantum metrology.

引用

页数：6

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