A method is given to compute the minimum energy of certain spin Hamiltonians over separable states, expressed via quantum Fisher information for Ising models and fidelity for Heisenberg chains.
Quantum theory of phase estimation
7 Pith papers cite this work. Polarity classification is still indexing.
7
Pith papers citing it
abstract
Advancements in physics are often motivated/accompanied by advancements in our precision measurements abilities. The current generation of atomic and optical interferometers is limited by shot noise, a fundamental limit when estimating a phase shift with classical light or uncorrelated atoms. In the last years, it has been clarified that the creation of special quantum correlations among particles, which will be called here useful entanglement, can strongly enhance the interferometric sensitivity. Pioneer experiments have already demonstrated the basic principles. We are probably at the verge of a second quantum revolution where quantum mechanics of many-body systems is exploited to overcome the limitations of classical technologies. This review illustrates the deep connection between entanglement and sub shot noise sensitivity.
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quant-ph 7verdicts
UNVERDICTED 7representative citing papers
A mapping from stabilizer generators to dual Ising spins converts hidden nonlocal order in stabilizer codes into observables with extensive quantum Fisher information density.
Proves equalities among quantum Wasserstein distances obtained from optimizations over general versus separable bipartite states and shows relations to Uhlmann-Jozsa fidelity and superfidelity, including equality for qubits.
Monitored random quantum circuits lack divergent multipartite entanglement at criticality unlike standard critical systems, but two-site measurements with a protection mechanism enable genuinely multipartite entangled phases.
An iterative semidefinite programming method maximizes quantum Fisher information over local Hamiltonians to optimize metrological performance of quantum states and solves related entanglement problems.
Multipartite entanglement measured by QFI scaling is robust to finite spatial inhomogeneity in generalized Kitaev chains and corresponds one-to-one with Majorana-hosting phases for nearest-neighbor pairing while showing super-extensive scaling in long-range phases.
Two quantum Wasserstein distance definitions coincide for qubits with single-operator cost functions, implying the self-distance equals the Wigner-Yanase skew information.
citing papers explorer
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General method for obtaining the energy minimum of spin Hamiltonians for separable states
A method is given to compute the minimum energy of certain spin Hamiltonians over separable states, expressed via quantum Fisher information for Ising models and fidelity for Heisenberg chains.
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Assembling Extensive Quantum Fisher Information in Stabilizer Systems
A mapping from stabilizer generators to dual Ising spins converts hidden nonlocal order in stabilizer codes into observables with extensive quantum Fisher information density.
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Quantum Wasserstein distance and its relation to several types of fidelities
Proves equalities among quantum Wasserstein distances obtained from optimizations over general versus separable bipartite states and shows relations to Uhlmann-Jozsa fidelity and superfidelity, including equality for qubits.
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Multipartite entanglement structure of monitored quantum circuits
Monitored random quantum circuits lack divergent multipartite entanglement at criticality unlike standard critical systems, but two-site measurements with a protection mechanism enable genuinely multipartite entangled phases.
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Iterative optimization in quantum metrology and entanglement theory using semidefinite programming
An iterative semidefinite programming method maximizes quantum Fisher information over local Hamiltonians to optimize metrological performance of quantum states and solves related entanglement problems.
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Robust multipartite entanglement in dirty topological wires
Multipartite entanglement measured by QFI scaling is robust to finite spatial inhomogeneity in generalized Kitaev chains and corresponds one-to-one with Majorana-hosting phases for nearest-neighbor pairing while showing super-extensive scaling in long-range phases.
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Relations between different definitions of the quantum Wasserstein distance for qubits
Two quantum Wasserstein distance definitions coincide for qubits with single-operator cost functions, implying the self-distance equals the Wigner-Yanase skew information.