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Paper 1
Hayden-Preskill decoding from noisy Hawking radiation
Ning Bao, Yuta Kikuchi
- Year
- 2020
- Journal
- arXiv preprint
- DOI
- arXiv:2009.13493
- arXiv
- 2009.13493
In the Hayden-Preskill thought experiment, the Hawking radiation emitted before a quantum state is thrown into the black hole is used along with the radiation collected later for the purpose of decoding the quantum state. A natural question is how the recoverability is affected if the stored early radiation is damaged or subject to decoherence, and/or the decoding protocol is imperfectly performed. We study the recoverability in the thought experiment in the presence of decoherence or noise in the storage of early radiation.
Open paperPaper 2
DQC1 as an Open Quantum System
Jake Xuereb, Steve Campbell, John Goold, André Xuereb
- Year
- 2022
- Journal
- arXiv preprint
- DOI
- arXiv:2209.03947
- arXiv
- 2209.03947
The DQC1 complexity class, or power of one qubit model, is examined as an open quantum system. We study the dynamics of a register of qubits carrying out a DQC1 algorithm and show that, for any algorithm in the complexity class, the evolution of the logical qubit can be described as an open quantum system undergoing a dynamics which is unital. Unital quantum channels respect the Tasaki-Crooks fluctuation theorem and we demonstrate how this is captured by the thermodynamics of the logical qubit. As an application, we investigate the equilibrium and non-equilibrium thermodynamics of the DQC1 trace estimation algorithm. We show that different computational inputs, i.e. different traces being estimated, lead to different energetic exchanges across the register of qubits and that the temperature of the logical qubit impacts the magnitude of fluctuations experienced and quality of the algorithm.
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