Thermodynamic Constraints on Quantum Information Gain and Error Correction: A Triple Trade-Off

@inproceedings{Danageozian2022ThermodynamicCO,
  title={Thermodynamic Constraints on Quantum Information Gain and Error Correction: A Triple Trade-Off},
  author={Arshag Danageozian and Mark M. Wilde and Francesco Buscemi},
  year={2022}
}
Quantum error correction (QEC) is a procedure by which the quantum state of a system is protected against a known type of noise, by preemptively adding redundancy to that state. Such a procedure is commonly used in quantum computing when thermal noise is present. Interestingly, thermal noise has also been known to play a central role in quantum thermodynamics (QTD). This fact hints at the applicability of certain QTD statements in the QEC of thermal noise, which has been discussed previously in… 
1 Citations

Figures from this paper

Coherence-powered work exchanges between a solid-state qubit and light fields
How does quantum coherence impact energy exchanges between quantum systems? This key question of quantum thermodynamics is also of prime importance for the energy management of emerging technologies

References

SHOWING 1-10 OF 80 REFERENCES
Thermodynamic analysis of quantum error-correcting engines
TLDR
A complete assessment of the thermodynamic properties of 4-strokes operator-based error correcting codes is carried out, finding that correcting the coherent (and thus genuinely quantum) part of a quantum state introduces substantial modifications related to the Hadamard gates required to encode and decode coherences.
Two-sided bounds on minimum-error quantum measurement, on the reversibility of quantum dynamics, and on maximum overlap using directional iterates
In a unified framework, we estimate the following quantities of interest in quantum information theory: (1) the minimum-error distinguishability of arbitrary ensembles of mixed quantum states; (2)
Conditional Decoupling of Quantum Information
TLDR
Two models of conditional decoupling are presented, called deconstruction and conditional erasure cost of tripartite states ABE, and the main result is that both are equal to the conditional quantum mutual information I(A;B|E)-establishing it as an operational measure for tri partite quantum correlations.
A Theory of Quantum Error-Correcting Codes
TLDR
A general theory of quantum error correction based on encoding states into larger Hilbert spaces subject to known interactions is developed and necessary and sufficient conditions for the perfect recovery of an encoded state after its degradation by an interaction are obtained.
Breakdown of the Landauer bound for information erasure in the quantum regime.
TLDR
A quantum Brownian particle interacting with its thermal bath can either generate less heat or even absorb heat during an analogous squeezing process, due to entanglement with the bath, and this invalidates the Landauer bound in the quantum regime, and suggests that quantum carriers of information can be more efficient than assumed so far.
Fundamental limits on quantum dynamics based on entropy change
It is well known in the realm of quantum mechanics and information theory that the entropy is non-decreasing for the class of unital physical processes. However, in general, the entropy does not
Approximate reversibility in the context of entropy gain, information gain, and complete positivity
TLDR
This paper applies and extends results to give strong enhancements to several entropy inequalities, having to do with entropy gain, information gain, entropic disturbance, and complete positivity of open quantum systems dynamics.
Thermodynamic Interpretation of the Quantum Error Correcting Criterion
TLDR
This note extends the connection between quantum information theory and thermodynamics to include quantum error correction, and shows that this criterion has a thermodynamical interpretation.
The thermodynamic cost of quantum operations
The amount of heat generated by computers is rapidly becoming one of the main problems for developing new generations of information technology. The thermodynamics of computation sets the ultimate
Identifying the Information Gain of a Quantum Measurement
We show that quantum-to-classical channels, i.e., quantum measurements, can be asymptotically simulated by an amount of classical communication equal to the quantum mutual information of the
...
1
2
3
4
5
...