Tomograms for open quantum systems: In(finite) dimensional optical and spin systems

Tomograms are obtained as probability distributions and are used to reconstruct a quantum state from experimentally measured values. We study the evolution of tomograms for different quantum systems, both finite and infinite dimensional. In realistic experimental conditions, quantum states are expos...

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Bibliographic Details
Published inAnnals of physics Vol. 366; no. Complete; pp. 148 - 167
Main Authors Thapliyal, Kishore, Banerjee, Subhashish, Pathak, Anirban
Format Journal Article
LanguageEnglish
Published New York Elsevier Inc 01.03.2016
Elsevier BV
Subjects
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Computation
Dissipation
Evolution
Exposure
Formalism
HARMONIC OSCILLATORS
IMPLEMENTATION
Mathematical analysis
Open quantum system
Optical tomogram
Phase states
PROBABILITY
QUANTUM COMPUTERS
Quantum physics
Quantum state tomography
QUANTUM STATES
QUANTUM SYSTEMS
Quantum theory
QUBITS
Reconstruction
SPIN
Spin states
TOMOGRAPHY
Optical tomogram
Quantum state tomography
Open quantum system
Phase states
Spin states
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Summary:Tomograms are obtained as probability distributions and are used to reconstruct a quantum state from experimentally measured values. We study the evolution of tomograms for different quantum systems, both finite and infinite dimensional. In realistic experimental conditions, quantum states are exposed to the ambient environment and hence subject to effects like decoherence and dissipation, which are dealt with here, consistently, using the formalism of open quantum systems. This is extremely relevant from the perspective of experimental implementation and issues related to state reconstruction in quantum computation and communication. These considerations are also expected to affect the quasiprobability distribution obtained from experimentally generated tomograms and nonclassicality observed from them. •Tomograms are constructed for open quantum systems.•Finite and infinite dimensional quantum systems are studied.•Finite dimensional systems (phase states, single & two qubit spin states) are studied.•A dissipative harmonic oscillator is considered as an infinite dimensional system.•Both pure dephasing as well as dissipation effects are studied.
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ISSN:0003-4916
1096-035X
DOI:10.1016/j.aop.2016.01.010