On the entanglement and engineering phase gates without dynamical phases for a two-qubit system with Dzyaloshinski-Moriya interaction in magnetic field

DOI10.1007/S11128-012-0463-YzbMath1264.81031OpenAlexW2032008761MaRDI QIDQ1952624

M. Amniat-Talab, H. Rangani Jahromi

Publication date: 31 May 2013

Published in: Quantum Information Processing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11128-012-0463-y

zbMATH Keywords

Heisenberg modelentanglementBerry phaseconcurrenceDM interactiongeometric phase gate

Mathematics Subject Classification ID

Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70) Quantum coherence, entanglement, quantum correlations (81P40)

Related Items (6)

Geometric phase, entanglement, and quantum Fisher information near the saturation point ⋮ Noncyclic geometric quantum computation and preservation of entanglement for a two-qubit Ising model ⋮ Coupled two-qubit engine and refrigerator in Heisenberg model ⋮ Entangled quantum Otto heat engines based on two-spin systems with the Dzyaloshinski-Moriya interaction ⋮ Estimation of temperature in micromaser-type systems ⋮ Influence of intrinsic decoherence on entanglement teleportation via a Heisenberg XYZ model with different Dzyaloshinskii-Moriya interactions

Cites Work

• Unnamed Item
• Unnamed Item
• Nodal free geometric phases: concept and application to geometric quantum computation
• Geometric phases and entanglement of two qubits with \(XY\) type interaction
• Berry phase in a bipartite system with general subsystem-subsystem couplings
• Interacting spin pairs in rotational magnetic fields and geometric phase
• A gauge field governing parallel transport along mixed states
• Parallel transport and ``quantum holonomy along density operators
• The area theorem of the Berry phase for the time-dependent externally driven system
• Berry phase for many-spin system with the uniaxial anisotropic exchange interaction in a time-dependent magnetic field
• Invariant Hermitian operator and geometric phase for the Heisenberg spin system in a time-dependent magnetic field
• Berry Phase in a Composite System
• Geometric quantum computation
• Quantal phase factors accompanying adiabatic changes
• Rapid solution of problems by quantum computation
• Experimental quantum teleportation
• Mixed-state entanglement and quantum error correction

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