Papers
Topics
Authors
Recent
Gemini 2.5 Flash
Gemini 2.5 Flash
144 tokens/sec
GPT-4o
8 tokens/sec
Gemini 2.5 Pro Pro
46 tokens/sec
o3 Pro
4 tokens/sec
GPT-4.1 Pro
38 tokens/sec
DeepSeek R1 via Azure Pro
28 tokens/sec
2000 character limit reached

Creating ensembles of dual unitary and maximally entangling quantum evolutions (1912.12021v3)

Published 27 Dec 2019 in quant-ph, cond-mat.stat-mech, hep-th, and nlin.CD

Abstract: Maximally entangled bipartite unitary operators or gates find various applications from quantum information to being building blocks of minimal models of many-body quantum chaos, and have been referred to as "dual unitaries". Dual unitary operators that can create the maximum average entanglement when acting on product states have to satisfy additional constraints. These have been called "2-unitaries" and are examples of perfect tensors that can be used to construct absolutely maximally entangled states of four parties. Hitherto, no systematic method exists, in any local dimension, which result in the formation of such special classes of unitary operators. We outline an iterative protocol, a nonlinear map on the space of unitary operators, that creates ensembles whose members are arbitrarily close to being dual unitaries, while for qutrits and ququads we find that a slightly modified protocol yields a plethora of 2-unitaries. We further characterize the dual unitary operators via their entangling power and the 2-unitaries via the distribution of entanglement created from unentangled states.

Summary

We haven't generated a summary for this paper yet.