Nonlocality, Asymmetry, and Distinguishing Bipartite States
Jonathan Walgate, Lucien Hardy
Abstract
Entanglement is an useful resource because some global operations cannot be locally implemented using classical communication. We prove a number of results about what is and is not locally possible. We focus on orthogonal states, which can always be globally distinguished. We establish the necessary and sufficient conditions for a general set of 2x2 quantum states to be locally distinguishable, and for a general set of 2xn quantum states to be distinguished given an initial measurement of the qubit. These results reveal a fundamental asymmetry to nonlocality, which is the origin of ``nonlocality without entanglement'', and we present a very simple proof of this phenomenon.
Create a lesson
Related papers
Towards the Geometry of Quantum Optical Measurements: Kraus Trajectories in the Instrumental Weyl-Heisenberg Group Manifold
Tzula B. Propp, Chris S. Jackson
Bell's go theorem: regaining local causality with a new notion of realism
Lorenzo Catani, Nesta van der Schaaf, Rui Soares Barbosa
Quantum state texture of maximal-resource Fourier states under Hawking radiation
Shengyan Ma, Yiding Wang, Xiaofen Huang et al.
Magic-Free Certification of Logical Error Rates in Universal Fault-Tolerant Circuits
Gebrat Porta-San Miguel, Shahram Panahiyan, Dieter Jaksch
QBFF: Deep Quantum Bottleneck for Automatic Speaker Verification Anti-Spoofing
Anton Firc, Nouhaila Innan, Vojtěch Staněk et al.
Entanglement and parametric resonance in coupled oscillator systems
Roxane Thériault, George Zahariade