Charging a quantum spin network towards Heisenberg-limited precision

Abstract

We present a cooperative protocol to charge quantum spin networks up to the highest-energy configuration, in terms of the network's magnetization. The charging protocol leverages spin-spin interactions and the crossing of a phase transition's critical point. Exploiting collective dynamics of the spin network, the cooperative protocol guarantees a precision advantage over any local charging protocol and leads to fluctuations (standard deviation) of the magnetization that scale as $1/N$, with $N$ being the number of spins in the network, i.e., the size of the spin battery. These findings mirror the Heisenberg limit for precision for parameter estimation in quantum metrology. We test our protocol on the D-Wave's Advantage quantum processing unit by charging sub-lattices with sizes ranging from $40$ to $5612$ spins, achieving the maximum magnetization and reaching a scalable charging precision beyond the standard quantum limit of $1/\sqrt{N}$.

13 pages, 10 figures

References in corpus (75)

• Advances in Quantum Metrology
• Quantum-enhanced measurements: beating the standard quantum limit
• Quantum metrology with nonclassical states of atomic ensembles
• The elusive Heisenberg limit in quantum enhanced metrology
• A single-atom heat engine
• The European Quantum Technologies Roadmap
• Enhancing the charging power of quantum batteries
• Perspectives of quantum annealing: Methods and implementations
• High-power collective charging of a solid-state quantum battery
• Quantacell: Powerful charging of quantum batteries
• Rydberg atom quantum technologies
• Extractable work, the role of correlations, and asymptotic freedom in quantum batteries
• Spin-chain model of a many-body quantum battery
• Individual quantum probes for optimal thermometry
• Reinforcement Learning in Different Phases of Quantum Control
• Quantum advantage in the charging process of Sachdev-Ye-Kitaev batteries
• The power of a critical heat engine
• Charger-mediated energy transfer for quantum batteries: an open system approach
• Superabsorption in an organic microcavity: towards a quantum battery
• Colloquium: Quantum Batteries
• Charger-mediated energy transfer in exactly-solvable models for quantum batteries
• Trade-off between speed and cost in shortcuts to adiabaticity
• Quantum Coherence and Ergotropy
• Bounds on the capacity and power of quantum batteries
• Quantum thermodynamic devices: from theoretical proposals to experimental reality
• Quantum Charging Advantage Cannot Be Extensive Without Global Operations
• Quantum technologies need a Quantum Energy Initiative
• Quantum versus classical many-body batteries
• Stable adiabatic quantum batteries
• Colloquium: Quantum heat transport in condensed matter systems
• Optimal charging of a superconducting quantum battery
• NMR investigations of quantum battery using star-topology spin systems
• Entanglement, Coherence, and Extractable Work in Quantum Batteries
• Dicke Superradiance in Solids
• The energetic cost of work extraction
• Fluctuations in extractable work bound the charging power of quantum batteries
• Precision and Work Fluctuations in Gaussian Battery Charging
• Superabsorption of light via quantum engineering
• Ultra-stable charging of fast-scrambling SYK quantum batteries
• Stable and charge-switchable quantum batteries
• A Tutorial on Quantum Master Equations: Tips and tricks for quantum optics, quantum computing and beyond
• Experimental analysis of energy transfers between a quantum emitter and light fields
• Quantum Statistical Enhancement of the Collective Performance of Multiple Bosonic Engines
• A Review on Quantum Search Algorithms
• Characterization of a Two-Photon Quantum Battery: Initial Conditions, Stability and Work Extraction
• Many-body quantum thermal machines
• Collective performance of a finite-time quantum Otto cycle
• Benchmarking Hamiltonian Noise in the D-Wave Quantum Annealer
• Delocalised kinetic Monte Carlo for simulating delocalisation-enhanced charge and exciton transport in disordered materials
• Optimizing resource efficiencies for scalable full-stack quantum computers
• Optimal Quantum Thermometry with Coarse-grained Measurements
• Collective effects enhancing power and efficiency
• Quasiprobabilities in quantum thermodynamics and many-body systems
• Collective effects on the performance and stability of quantum heat engines
• Collective heat capacity for quantum thermometry and quantum engine enhancements
• Off-resonant Dicke Quantum Battery: Charging by Virtual Photons
• Generalised Marcus Theory for Multi-Molecular Delocalised Charge Transfer
• Fundamental energy requirement of reversible quantum operations
• Work fluctuations and entanglement in quantum batteries
• Projective measurements can probe non-classical work extraction and time-correlations
• Quantum supercapacitors
• Optimal quantum operations at zero energy cost
• Fundamental energy cost of finite-time computing
• Harnessing non-adiabatic excitations promoted by a quantum critical point
• Charging power and stability of always-on transitionless driven quantum batteries
• Quadratic Enhancement in the Reliability of Collective Quantum Engines
• Performance boost of a collective qutrit refrigerator
• Cooperative efficiency boost for quantum heat engines
• Trade-offs between precision and fluctuations in charging finite-dimensional quantum batteries
• Stable collective charging of ultracold atoms quantum batteries
• Cooperative quantum information erasure
• Comparing the quantum switch and its simulations with energetically-constrained operations
• Tutorial: Calibration refinement in quantum annealing
• Dicke superradiant enhancement of the heat current in circuit QED
• Globally driven superconducting quantum computing architecture