Search results for "quantum geometric information"

showing 3 items of 3 documents

Symmetric logarithmic derivative of Fermionic Gaussian states

2018

In this article we derive a closed form expression for the symmetric logarithmic derivative of Fermionic Gaussian states. This provides a direct way of computing the quantum Fisher Information for Fermionic Gaussian states. Applications ranges from quantum Metrology with thermal states and non-equilibrium steady states with Fermionic many-body systems.

Fermionic Gaussian stateSettore FIS/02 - Fisica Teorica Modelli E Metodi Matematiciquantum geometric informationHigh Energy Physics::LatticeGaussianFOS: Physical sciencesGeneral Physics and Astronomylcsh:Astrophysicsquantum metrology; Fermionic Gaussian state; quantum geometric informationcondensed_matter_physics01 natural sciencesArticle010305 fluids & plasmassymbols.namesakeQuantum mechanicslcsh:QB460-4660103 physical sciencesThermalQuantum metrologyLogarithmic derivativelcsh:Science010306 general physicsMathematical physicsCondensed Matter::Quantum GasesPhysicsQuantum Physicsquantum metrologyQuantum fisher informationlcsh:QC1-999Range (mathematics)symbolslcsh:QClosed-form expressionQuantum Physics (quant-ph)lcsh:Physics
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Incompatibility in Multi-Parameter Quantum Metrology with Fermionic Gaussian States

2019

In this article we derive a closed form expression for the incompatibility condition in multi-parameter quantum metrology when the reference states are Fermionic Gaussian states. Together with the quantum Fisher information, the knowledge of the compatibility condition provides a way of designing optimal measurement strategies for multi-parameter quantum estimation. Applications range from quantum metrology with thermal states to non-equilibrium steady states with Fermionic and spin systems.

PhysicsFermionic Gaussian statequantum geometric informationGaussianquantum metrologyMetrology Fermionic Gaussian stateslcsh:AQuantum fisher informationsymbols.namesakeTheoretical physicsThermalQuantum metrologysymbolsClosed-form expressionlcsh:General WorksQuantumMulti parameterProceedings
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Geometry of quantum phase transitions

2020

In this article we provide a review of geometrical methods employed in the analysis of quantum phase transitions and non-equilibrium dissipative phase transitions. After a pedagogical introduction to geometric phases and geometric information in the characterisation of quantum phase transitions, we describe recent developments of geometrical approaches based on mixed-state generalisation of the Berry-phase, i.e. the Uhlmann geometric phase, for the investigation of non-equilibrium steady-state quantum phase transitions (NESS-QPTs ). Equilibrium phase transitions fall invariably into two markedly non-overlapping categories: classical phase transitions and quantum phase transitions, whereas i…

Quantum phase transitionPhysicsPhase transitionQuantum PhysicsDissipative phase transitions Geometric phase Quantum geometric information Quantum metrology Quantum phase transitionsStatistical Mechanics (cond-mat.stat-mech)010308 nuclear & particles physicsCritical phenomenaGeneral Physics and AstronomyFOS: Physical sciences01 natural sciencesTheoretical physicssymbols.namesakeGeometric phase0103 physical sciencesQuantum metrologyDissipative systemsymbols010306 general physicsHamiltonian (quantum mechanics)Quantum Physics (quant-ph)QuantumCondensed Matter - Statistical Mechanics
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