From many-body to many-time physics
- URL: http://arxiv.org/abs/2107.13934v4
- Date: Tue, 24 May 2022 02:19:05 GMT
- Title: From many-body to many-time physics
- Authors: Gregory A. L. White, Felix A. Pollock, Lloyd C. L. Hollenberg, Charles
D. Hill, Kavan Modi
- Abstract summary: Multi-time quantum processes endowed with the same richness as many-body physics.
We show how surprisingly accessible, yet under-explored, these phenomena are in nascent quantum processors.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Multi-time quantum processes are endowed with the same richness as many-body
physics, including temporal entanglement and well-defined causal structures. We
dub this many-time physics, and show how surprisingly accessible, yet
under-explored, these phenomena are in nascent quantum processors. Here, we
develop a family of tools that allow us access to many-time physics on quantum
information processors, which are then demonstrated. First, we access
short-range microscopic properties, such as genuine multi-time entanglement and
estimators for non-Markovian memory. Then, adapting classical shadow tomography
to many-time scenarios, we access macroscopic features like long-range
correlations and compact representations of large processes. We showcase this
for a 20-step process (42-qubit state) by accurately capturing numerous facets
of the dynamics, including multi-time correlations -- for example, in the
prediction of mid-circuit measurement distributions. Our techniques are
pertinent to generic quantum stochastic dynamical processes, with a scope
ranging across condensed matter physics, quantum biology, and in-depth
diagnostics of NISQ era quantum devices.
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