Fundamental energy requirement of reversible quantum operations

Abstract

Landauer's principle asserts that any computation has an unavoidable energy cost that grows proportionally to its degree of logical irreversibility. But even a logically reversible operation, when run on a physical processor that operates on different energy levels, requires energy. Here we quantify this energy requirement, providing upper and lower bounds that coincide up to a constant factor. We derive these bounds from a general quantum resource-theoretic argument, which implies that the initial resource requirement for implementing a unitary operation within an error~$\epsilon$ grows like $1/\sqrt{\epsilon }$ times the amount of resource generated by the operation. Applying these results to quantum circuits, we find that their energy requirement can, by an appropriate design, be made independent of their time complexity.

arXiv comment6 pages + appendix, 3 figures; close to published version

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• Autonomous Quantum Devices: When Are They Realizable without Additional Thermodynamic Costs?
• Reliable quantum advantage in quantum battery charging
• Wigner-Araki-Yanase theorem for continuous and unbounded conserved observables
• Dynamical Landauer Principle: Quantifying Information Transmission by Thermodynamics
• Covariant catalysis requires correlations and good quantum reference frames degrade little
• Thermodynamically free quantum measurements
• Measurement disturbance and conservation laws in quantum mechanics
• Robustness of controlled Hamiltonian approaches to unitary quantum gates
• Stable and Efficient Charging of Superconducting Capacitively Shunted Flux Quantum Batteries
• Energy requirement for implementing unitary gates on energy-unbounded systems
• Fidelity-dissipation relations in quantum gates
• Dynamical Landauer principle: Thermodynamic criteria of transmitting classical information
• Resource Theory of Non-absolute Separability
• The Hadamard gate cannot be replaced by a resource state in universal quantum computation
• Work extraction from a quantum battery charged through an array of coupled cavities
• Sample Complexity of Black Box Work Extraction
• Thermodynamic optimization of quantum algorithms: On-the-go erasure of qubit registers
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• Autonomous Quantum Processing Unit: An Autonomous Thermal Computing Machine & its Physical Limitations
• Optimal quantum metrology under energy constraints