Bounds on quantum information storage and retrieval
Abstract
We present certain universal bounds on the capacity of quantum information storage and on the time scale of its retrieval for a generic quantum field theoretic system. The capacity, quantified by the microstate entropy, is bounded from above by the surface area of the object measured in units of a Goldstone decay constant. The Goldstone bosons are universally present due to the spontaneous breaking of Poincare and internal symmetries by the information-storing object. Applied to a black hole, the bound reproduces the Bekenstein-Hawking entropy. However, the relation goes beyond gravity. The minimal time-scale required for retrieving the quantum information from a system is equal to its volume measured in units of the same Goldstone scale. For a black hole, this reproduces the Page time as well as the quantum break-time. Again, the expression for the information retrieval time is very general and is shared by non-gravitational saturated states in gauge theories including QCD. All such objects exhibit universal signatures such as the emission of ultra-soft radiation. Similar bounds apply to non-relativistic many-body systems.
This article is part of the theme issue `Quantum technologies in particle physics'.- Publication:
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Philosophical Transactions of the Royal Society of London Series A
- Pub Date:
- February 2022
- DOI:
- 10.1098/rsta.2021.0071
- arXiv:
- arXiv:2107.10616
- Bibcode:
- 2022RSPTA.38010071D
- Keywords:
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- High Energy Physics - Theory;
- General Relativity and Quantum Cosmology;
- High Energy Physics - Phenomenology;
- Quantum Physics
- E-Print:
- 5 pages