Journal ArticleDOI
Information-theoretic differential geometry of quantum phase transitions.
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TLDR
It is argued that the singularities of this metric are in correspondence with the quantum phase transitions featured by the corresponding system and provides a universal conceptual framework to study quantum critical phenomena.Abstract:
The manifold of coupling constants parametrizing a quantum Hamiltonian is equipped with a natural Riemannian metric with an operational distinguishability content. We argue that the singularities of this metric are in correspondence with the quantum phase transitions featured by the corresponding system. This approach provides a universal conceptual framework to study quantum critical phenomena which is differential geometric and information theoretic at the same time.read more
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Fidelity approach to quantum phase transitions
TL;DR: In this article, the authors review the quantum fidelity approach to quantum phase transitions in a pedagogical manner, and relate all established but scattered results on the leading term of the fidelity into a systematic theoretical framework, which might provide an alternative paradigm for understanding quantum critical phenomena.
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Quantum-enhanced measurements without entanglement
Daniel Braun,Gerardo Adesso,Fabio Benatti,Roberto Floreanini,Ugo Marzolino,Morgan W. Mitchell,Stefano Pirandola +6 more
TL;DR: In this article, a review of quantum-enhanced measurements can be found, including the use of more general quantum correlations such as quantum discord, identical particles, or non-trivial hamiltonians, and the estimation of thermodynamical parameters or parameters characterizing non-equilibrium states.
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Quantum Fisher information matrix and multiparameter estimation
TL;DR: In this paper, the authors summarize the properties and existing calculation techniques of quantum Fisher Information Matrix (QFIM) for various cases, and review the development of QFIM in some aspects of quantum mechanics apart from quantum metrology.
Journal ArticleDOI
Fidelity approach to quantum phase transitions
TL;DR: In this article, the authors review the quantum fidelity approach to quantum phase transitions in a pedagogical manner and relate all established but scattered results on the leading term of the fidelity into a systematic theoretical framework, which might provide an alternative paradigm for understanding quantum critical phenomena.
Journal ArticleDOI
Quantum criticality as a resource for quantum estimation
TL;DR: In this paper, the authors consider quantum critical systems as a resource in quantum estimation and derive the ultimate quantum limits to the precision of any estimator of the coupling parameters of a quantum phase transition.