Geometric uncertainty relation for mixed quantum states

DOI10.1063/1.4871548zbMath1294.81066arXiv1302.2074OpenAlexW3102070611MaRDI QIDQ5171321

Ole Andersson, Hoshang Heydari

Publication date: 26 July 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.2074

Mathematics Subject Classification ID

Equivariant fiber spaces and bundles in algebraic topology (55R91) Quantum measurement theory, state operations, state preparations (81P15) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Symplectic structures of moduli spaces (53D30) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21) Quantum state spaces, operational and probabilistic concepts (81P16)

Related Items (9)

Variance-based uncertainty relations for incompatible observables ⋮ Sum uncertainty relations based on Wigner-Yanase skew information ⋮ Stronger uncertainty relations with improvable upper and lower bounds ⋮ Quantum speed limits: from Heisenberg’s uncertainty principle to optimal quantum control ⋮ Uncertainty relation on generalized skew information with amonotone pair ⋮ Geometry and structure of quantum phase space ⋮ Revisiting uncertainty relation via random observables ⋮ An uncertainty relation in terms of generalized metric adjusted skew information and correlation measure ⋮ Two generalized Wigner-Yanase skew information and their uncertainty relations

Cites Work

• Unnamed Item
• Unnamed Item
• A gauge field governing parallel transport along mixed states
• Parallel transport and ``quantum holonomy along density operators
• Reduction of symplectic manifolds with symmetry
• The transition probability in the state space of a \(^*\)-algebra
• Prequantum bundles and projective Hilbert geometries
• Entropic uncertainty relations—a survey
• Improvement of uncertainty relations for mixed states
• Quantum Computation and Quantum Information
• Geometrization of statistical mechanics
• Uncertainty relation for non-Hamiltonian quantum systems
• Geometrization of quantum mechanics

This page was built for publication: Geometric uncertainty relation for mixed quantum states