GEOMETRIC PHASES FOR MIXED STATES DURING UNITARY AND NON-UNITARY EVOLUTIONS

DOI10.1142/S0219749903000103zbMath1069.81513MaRDI QIDQ4819261

Arun Kumar Pati

Publication date: 24 September 2004

Published in: International Journal of Quantum Information (Search for Journal in Brave)

zbMATH Keywords

mixed stateGeometric phasesCP mapsconnection-form

Mathematics Subject Classification ID

Quantum computation (81P68) Positive linear operators and order-bounded operators (47B65) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70)

Related Items (6)

Mixed state geometric phase for neutrino oscillations ⋮ GEOMETRIC PHASE AND DISENTANGLEMENT OF A MOVING FOUR-LEVEL ATOM IN THE PRESENCE OF NONLINEAR MEDIUM ⋮ Quantum Entanglement and Geometric Phase of Two Moving Two-Level Atoms ⋮ Geometric phase and entanglement for a single qubit interacting with deformed-states superposition ⋮ The quantum geometric tensor from generating functions ⋮ Quantum phase transition and Berry phase of the Dicke model in the presence of the Stark-shift

Cites Work

• Unnamed Item
• Parallel transport and ``quantum holonomy along density operators
• Quantum kinematic approach to the geometric phase. I: General formalism
• Mixed state holonomies
• New derivation of the geometric phase
• Effect of measurement on the geometric phase during evolution of a quantum system.
• Off-Diagonal Geometric Phase for Mixed States
• Quantal phase factors accompanying adiabatic changes
• On the real and complex geometric phases
• Geometry of quantum evolution
• Gauge-invariant reference section and geometric phase

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