MINIMUM UNCERTAINTY AND ENTANGLEMENT

Collective uncertainty entanglement test.

For a given pure state of a composite quantum system we analyze the product of its projections onto a set of locally orthogonal separable pure states. We derive a bound for this product analogous to the entropic uncertainty relations. For bipartite systems the bound is saturated for maximally entangled states and it allows us to construct a family of entanglement measures, we shall call collect...

An equality between entanglement and uncertainty

Mario Berta, Patrick J. Coles, 3 and Stephanie Wehner 4 Institute for Quantum Information and Matter, Caltech, Pasadena, CA 91125, USA Institute for Quantum Computing and Department of Physics and Astronomy, University of Waterloo, N2L3G1 Waterloo, Ontario, Canada Centre for Quantum Technologies, National University of Singapore, 2 Science Drive 3, 117543 Singapore. QuTech, Delft University of ...

Momentum - Angle Commutation Relations and Minimum Uncertainty

We extend the canonical commutation relations (CCR) in quantum mechanics to the case where appropriate dynamical variables are angular momenta and angles. It is found that projection operators of the resultant Weyl algebra provide us with a new and powerful way of characterizing minimum uncertainty states, including those obtained by Carruthers and Nieto. The uniqueness theorem of Schrodinger r...

STOCHASTIC VARIATIONAL APPROACH TO MINIMUM UNCERTAINTY STATES Short title: STOCHASTIC VARIATIONAL APPROACH TO MINIMUM UNCERTAINTY

We introduce a new variational characterization of Gaussian diffusion processes as minimum uncertainty states. We then define a variational method constrained by kinematics of diffusions and Schrödinger dynamics to seek states of local minimum uncertainty for general non-harmonic potentials. PACS numbers:03.65.-w, 03.65.Ca, 03.65.Bz

Entanglement of Identical Particles and Reference Phase Uncertainty