Optimal quantum operations at zero energy cost
arXiv:1502.00259 · doi:10.1103/PhysRevA.96.022327
Abstract
Quantum technologies are developing powerful tools to generate and manipulate coherent superpositions of different energy levels. Envisaging a new generation of energy-efficient quantum devices, here we explore how coherence can be manipulated without exchanging energy with the surrounding environment. We start from the task of converting a coherent superposition of energy eigenstates into another. We identify the optimal energy-preserving operations, both in the deterministic and in the probabilistic scenario. We then design a recursive protocol, wherein a branching sequence of energy-preserving filters increases the probability of success while reaching maximum fidelity at each iteration. Building on the recursive protocol, we construct efficient approximations of the optimal fidelity-probability trade-off, by taking coherent superpositions of the different branches generated by probabilistic filtering. The benefits of this construction are illustrated in applications to quantum metrology, quantum cloning, coherent state amplification, and ancilla-driven computation. Finally, we extend our results to transitions where the input state is generally mixed and we apply our findings to the task of purifying quantum coherence.
35 pages, 10 figures; published version
References in corpus (23)
- Experimental loophole-free violation of a Bell inequality using entangled electron spins separated by 1.3 km
- Logic gates at the surface code threshold: Superconducting qubits poised for fault-tolerant quantum computing
- Quantum computing with trapped ions
- Quantum coherence, time-translation symmetry and thermodynamics
- The resource theory of quantum reference frames: manipulations and monotones
- How to quantify coherence: Distinguishing speakable and unspeakable notions
- Low-temperature thermodynamics with quantum coherence
- Towards fully quantum second laws of thermodynamics: limitations on the evolution of quantum coherences
- Efficient synthesis of universal Repeat-Until-Success circuits
- The WAY theorem and the quantum resource theory of asymmetry
- Degradation of a quantum reference frame
- Inverting quantum decoherence by classical feedback from the environment
- Squeezing the limit: Quantum benchmarks for the teleportation and storage of squeezed states
- Realization schemes for quantum instruments in finite dimensions
- Characterizing gate operations near the sweet spot of an exchange-only qubit
- Optimal probabilistic estimation of quantum states
- Quantum amplification and purification of noisy coherent states
- Minimum-energy pulses for quantum logic cannot be shared
- Simple proof of the quantum benchmark fidelity for continuous-variable quantum devices
- Optimal asymptotic cloning machines
- Quantum erasure of decoherence
- Quantum superreplication of states and gates
- Unlearning Quantum Information
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- Coherence distillation machines are impossible in quantum thermodynamics
- Fundamental energy requirement of reversible quantum operations
- Role of Coherence and Degeneracies in Quantum Synchronisation
- Enhancing coherence of a state by stochastic strictly incoherent operations
- Operational interpretation and estimation of quantum trace-norm asymmetry based on weak value measurement and some bounds
- Quantum coherence as asymmetry from complex weak values
- Minimal energy cost of entanglement extraction
- Independence of work and entropy for equal energetic finite quantum systems: Passive state energy as an entanglement quantifier
- Energy cost of entanglement extraction in complex quantum systems
- Thermodynamic work cost of quantum estimation protocols
- Correlations enable lossless ergotropy transport
- Units of rotational information
- Energy requirement for implementing unitary gates on energy-unbounded systems
- Stable and Efficient Charging of Superconducting Capacitively Shunted Flux Quantum Batteries
- Exploring Non-Markovianity in Ergodic Channels: Measuring Memory Retention through Ergotropy
- Charging a quantum spin network towards Heisenberg-limited precision
- Energy bounds for entangled states
- Quantum Resource Theory of Lasers