# The Schrödinger-HJW Theorem

@article{Kirkpatrick2003TheST, title={The Schr{\"o}dinger-HJW Theorem}, author={K. A. Kirkpatrick}, journal={Foundations of Physics Letters}, year={2003}, volume={19}, pages={95-102} }

A concise presentation of Schrödinger's ancilla theorem (Proc. Camb. Phil. Soc.32, 446 (1936)) and its several recent rediscoveries.

## 28 Citations

Entropy and information causality in general probabilistic theories

- Mathematics
- 2010

In this addendum to our paper (2010 New J. Phys. 12 033024), we point out that an elementary consequence of the strong subadditivity inequality allows us to strengthen one of the main conclusions of…

THE HATSOPOULOS–GYFTOPOULOS RESOLUTION OF THE SCHRÖDINGER–PARK PARADOX ABOUT THE CONCEPT OF "STATE" IN QUANTUM STATISTICAL MECHANICS

- Physics
- 2006

A seldom recognized fundamental difficulty undermines the concept of individual "state" in the present formulations of quantum statistical mechanics (and in its quantum information theory…

A statistical-mechanical description of quantum entanglement

- Mathematics, Physics
- 2007

We present a description of finite-dimensional quantum entanglement based on a study of the space of all convex decompositions of a given density matrix. On this space we construct a system of real…

Classicality without Decoherence: A Reply to Schlosshauer

- Physics, Philosophy
- 2008

Schlosshauer has criticized the conclusion of Wiebe and Ballentine (Phys. Rev. A 72:022109, 2005) that decoherence is not essential for the emergence of classicality from quantum mechanics. I reply…

Universality of sudden death of entanglement

- PhysicsQuantum Inf. Comput.
- 2011

We present a constructive argument to demonstrate the universality of the sudden death of entanglement in the case of two non-interacting qubits, each of which generically coupled to independent…

Entanglement, einstein-podolsky-rosen correlations, bell nonlocality, and steering

- Physics
- 2007

In a recent work [Phys. Rev. Lett. 98, 140402 (2007)] we defined "steering," a type of quantum nonlocality that is logically distinct from both nonseparability and Bell nonlocality. In the bipartite…

Steering, entanglement, nonlocality, and the Einstein-Podolsky-Rosen paradox.

- PhysicsPhysical review letters
- 2007

An operational definition is provided, from which it is proved that steerable states are a strict subset of the entangled states, and a strict superset of the states that can exhibit Bell nonlocality.

Reduced dynamical maps in the presence of initial correlations

- MathematicsScientific reports
- 2016

This approach allows to consider states that can have finite discord, though it does not include entangled states, and it explicitly shows the non-uniqueness of the completely positive extensions of the obtained dynamical map outside the compatibility domain.

On random unitary channels

- Mathematics
- 2008

In this paper, we provide necessary and sufficient conditions for a completely positive trace-preserving (CPT) map to be decomposable into a convex combination of unitary maps. Additionally, we set…

Open quantum systems are harder to track than open classical systems

- Computer ScienceQuantum
- 2019

This paper confirms the long-standing conjecture of Karasik and Wiseman that, for generic systems with D>2, Kmin>D, by a computational proof (via Hilbert Nullstellensatz certificates of infeasibility), beyond D=2, D-dimensional open quantum systems are provably harder to track than D- dimensional open classical systems.

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