Quantum fidelity for Gaussian states describing the evolution of open systems

Abstract

Using the expression of the fidelity for the most general Gaussian quantum states, the quantum fidelity is studied for the states of a harmonic oscillator interacting with an environment, in particular with a thermal bath. The time evolution of the considered system is described in the framework of the theory of open systems based on quantum dynamical semigroups. By taking a correlated squeezed Gaussian state as initial state, we calculate the quantum fidelity for both undisplaced and displaced states. The time evolution of the quantum fidelity is analyzed depending on the squeezing and correlation parameters characterizing the initial Gaussian state and on the dissipation constant and temperature of the thermal bath.

12 pages, 8 figures; talk at the 14th Central European Workshop on Quantum Optics (CEWQO 2007), Palermo, Italy (2007)

References in corpus (12)

• Quantum information with continuous variables
• Tripartite Quantum State Sharing
• Experimental investigation of continuous variable quantum teleportation
• Quantum teleportation of light beams
• Open quantum systems
• Fidelity for displaced squeezed states and the oscillator semigroup
• Bures and Statistical Distance for Squeezed Thermal States
• Bures distance between two displaced thermal states
• Quantum decoherence and classical correlations of the harmonic oscillator in the Lindblad theory
• Quantum and classical fidelities for Gaussian states
• Uncertainty functions of the open quantum harmonic oscillator in the Lindblad theory
• The fidelity of general bosonic channels with pure state input

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• Electro-optic entanglement source for microwave to telecom quantum state transfer
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• Dynamics of quantum entanglement in Gaussian open systems
• Dissipative evolution of quantum Gaussian states
• Entanglement and discord in two-mode Gaussian open quantum systems
• Entanglement dynamics of bipartite system in squeezed vacuum reservoirs
• Quantum correlations of two-mode Gaussian systems in a thermal environment
• Entanglement in two-mode continuous variable open quantum systems
• Coherently tracking the covariance matrix of an open quantum system
• Continuous variable entanglement in open quantum dynamics
• Single-photon transfer using levitated cavityless optomechanics
• Rényi-2 quantum correlations of two-mode Gaussian systems in a thermal environment
• Characterizing the spontaneous collapse of a wavefunction through entropy production
• Suppressing correlated noise in signals transmitted over the Gaussian memory channels using $2N$-port splitter and phase flips