Quantum Partial Information Decomposition
- URL: http://arxiv.org/abs/2308.04499v2
- Date: Wed, 22 Nov 2023 19:41:08 GMT
- Title: Quantum Partial Information Decomposition
- Authors: S.J. van Enk
- Abstract summary: Partial Information Decomposition (PID) takes one step beyond Shannon's theory in decomposing the information two variables $A,B$ into distinct parts.
We show how these concepts can be defined in a quantum setting.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: The Partial Information Decomposition (PID) takes one step beyond Shannon's
theory in decomposing the information two variables $A,B$ possess about a third
variable $T$ into distinct parts: unique, shared (or redundant) and synergistic
information. Here we show how these concepts can be defined in a quantum
setting. We apply a quantum PID to scrambling in quantum many-body systems, for
which a quantum-theoretic description has been proven productive. Unique
information in particular provides a finer description of scrambling than does
the so-called tri-information.
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