Minimum Energy Requirements for Quantum Computation
Abstract
A lower bound on the amount of energy needed to carry out an elementary logical operation on a quantum computer, with a given accuracy and in a given time, is derived. The bound arises from the requirement that the controls used to manipulate the qubits, which ultimately are themselves quan-tum mechanical systems, must nonetheless be classical to a sufficiently good approximation; it is expected to hold under a wide variety of conditions, and independently of the nature of the physical systems used to encode the qubits. This could have important consequences for very large-scale quantum computations.
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In the extension of FT-QEC theory to a non-Markovian setting, the crucial role of fresh and nearly pure ancillas is carried over directly and without change from Markovian FT-QEC theory.
“An important ingredient carried over directly and without change from Markovian FT-QEC theory, is the crucial role of the fresh and nearly pure ancillas [19, 20, 21].”
From Internal consistency of fault-tolerant quantum error correction in light of rigorous derivations of the quantum Markovian limit (2006) · cites this paper as [20]
Recent results on fault tolerance in non-Markovian settings make a crucial assumption about the smallness of the norm of the system-bath interaction Hamiltonian, which severely restricts the class of physical reservoirs.
“recent results on fault tolerance in non-Markovian settings [19, 20, 21, 22], while representing a significant step forward, make a crucial assumption about the smallness of the norm of the system-bath interaction Hamiltonian, which severely restricts the class of physical reservoirs.”
From Internal consistency of fault-tolerant quantum error correction in light of rigorous derivations of the quantum Markovian limit (2006) · cites this paper as [20]
The assumption of a small norm of the system-bath interaction Hamiltonian is not satisfied for some standard models of open systems.
“the important assumption of a small norm of the system-bath interaction Hamiltonian (e.g., Eq. (58) in Ref. [20]) is not satisfied for some standard models of open systems.”
From Internal consistency of fault-tolerant quantum error correction in light of rigorous derivations of the quantum Markovian limit (2006) · cites this paper as [20]
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Alicki, R., Lidar, D. A., & Zanardi, P. (2006) · Physical Review A · doi:10.1103/physreva.73.052311 · Cited by 132 · see citing works
- Authors
- Gea-Banacloche, J.
- Affiliations
- University of Arkansas at Fayetteville (US)
- Corresponding author
- Gea-Banacloche, Julio
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2002-11-04
- Volume
- 89
- Issue
- 21
- Pages
- 217901-217901
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2042282238
- Cited by
- 74
- References
- 16
- Citations by year
- 2026: 4 · 2025: 5 · 2024: 6 · 2023: 7 · 2022: 4 · 2021: 5 · 2020: 1 · 2017: 2 · 2015: 1 · 2014: 1 · 2012: 1
- FWCI
- 5.19
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Physical Review Letters (publishedVersion)
- PubMed (publishedVersion)
- Topics
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Information and Cryptography
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Advanced Thermodynamics and Statistical Mechanics
- Keywords
- minimum energy requirement, quantum computing, energy lower bound, logical operations, qubit control, quantum error correction
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