Polarized distances between quantum states and observables

The proposition 1 is incomplete. In some of the examples D(a,b) may not obey the triangle inequality. The paper is withdrawn for further elaboration.

• Publication year

  2000

• Venue

  arXiv: Quantum Physics

• Publication date

  2000-05-22

• Fields of study

  Mathematics, Physics

• Identifiers
  arXiv quant-ph/0005087
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

• Hilbert-Schmidt distance and non-classicality of states in quantum optics

  2000cited by this paper
• Exact solutions for the general nonstationary oscillator with a singular perturbation

  1998cited by this paper
• Geometry of the Hilbert space and the quantum Zeno effect

  1998cited by this paper
• ENERGY-SENSITIVE AND CLASSICAL-LIKE' DISTANCES BETWEEN QUANTUM STATES

  1998cited by this paper
• On the Squeezed States for n Observables

  1997cited by this paper
• BURES DISTANCE BETWEEN TWO DISPLACED THERMAL STATES

  1997cited by this paper
• INFORMATION AND METRICS IN HILBERT SPACE

  1997cited by this paper
• The Monge distance between quantum states

  1997cited by this paper
• LETTER TO THE EDITOR: The quantum Jeffreys' prior/Bures metric volume element for squeezed thermal states and a universal coding conjecture

  1996cited by this paper
• Bures and statistical distance for squeezed thermal states

  1996cited by this paper
• Two-Photon Algebra Eigenstates: A Unified Approach to Squeezing

  1996cited by this paper
• Symplectic tomography as classical approach to quantum systems

  1996cited by this paper
• Distance between density operators: Applications to the Jaynes-Cummings model.

  1995cited by this paper
• COMPLETENESS AND GEOMETRY OF SCHRODINGER MINIMUM UNCERTAINTY STATES

  1993cited by this paper
• Quantized geometry associated with uncertainty and correlation.

  1993cited by this paper
• Probabilistic and Statistical Aspects of Quantum Theory

  1982cited by this paper
• Riemannian structure on manifolds of quantum states

  1980cited by this paper
• Coherent states and transition probabilities in a time dependent electromagnetic field

  1970cited by this paper

• Quantum networks: anti-core of spin chains

  2014cites this paper
• Generalized uncertainty relations and coherent and squeezed states.

  2000cites this paper