Energy requirement for implementing unitary gates on energy-unbounded systems
arXiv:2212.11708 · doi:10.1088/1751-8121/ac717e
Abstract
The processing of quantum information always has a cost in terms of physical resources such as energy or time. Determining the resource requirements is not only an indispensable step in the design of practical devices - the resources need to be actually provided - but may also yield fundamental constraints on the class of processes that are physically possible. Here we study how much energy is required to implement a desired unitary gate on a quantum system with a non-trivial energy spectrum. We derive a general lower bound on the energy requirement, extending the main result of Ref. [1] from finite dimensional systems to systems with unbounded Hamiltonians. Such an extension has immediate applications in quantum information processing with optical systems, and allows us to provide bounds on the energy requirement of continuous variable quantum gates, such as displacement and squeezing gates.
arXiv comment16 pages + appendix; published version
References in corpus (34)
- Quantum entanglement
- Mixed State Entanglement and Quantum Error Correction
- Quantifying Coherence
- Quantum Coherence as a Resource
- Fundamental Limits of Repeaterless Quantum Communications
- General Benchmarks for Quantum Repeaters
- Black holes as mirrors: quantum information in random subsystems
- Quantum Resource Theories
- Enhancing the sensitivity of the LIGO gravitational wave detector by using squeezed states of light
- Information in Black Hole Radiation
- The entropy of bulk quantum fields and the entanglement wedge of an evaporating black hole
- Catalytic Coherence
- Minimal Energy Cost for Thermodynamic Information Processing: Measurement and Information Erasure
- The Minimal Work Cost of Information Processing
- Ultimate Precision of Adaptive Noise Estimation
- The WAY theorem and the quantum resource theory of asymmetry
- A Resource Theory for Work and Heat
- Energy-constrained diamond norms and their use in quantum information theory
- Fundamental work cost of quantum processes
- Uncertainty relations in implementation of unitary operations
- How energy conservation limits our measurements
- Energy-constrained diamond norm with applications to the uniform continuity of continuous variable channel capacities
- A short impossibility proof of Quantum Bit Commitment
- Optimal universal programming of unitary gates
- Complementarity of Private and Correctable Subsystems in Quantum Cryptography and Error Correction
- Fundamental energy requirement of reversible quantum operations
- Extracting work from quantum systems
- Optimal quantum operations at zero energy cost
- Coherence cost for violating conservation laws
- Universal limitations on implementing resourceful unitary evolutions
- An information-theoretic account of the Wigner-Araki-Yanase theorem
- Universal limitation of quantum information recovery: symmetry versus coherence
- The black hole information puzzle and the quantum de Finetti theorem
- Infinite-Dimensional Programmable Quantum Processors