Algorithmic Cooling and Scalable NMR Quantum Computers
arXiv:quant-ph/0106093 · doi:10.1073/pnas.241641898
Abstract
We present here algorithmic cooling (via polarization-heat-bath)- a powerful method for obtaining a large number of highly polarized spins in liquid nuclear-spin systems at finite temperature. Given that spin-half states represent (quantum) bits, algorithmic cooling cleans dirty bits beyond the Shannon's bound on data compression, by employing a set of rapidly thermal-relaxing bits. Such auxiliary bits could be implemented using spins that rapidly get into thermal equilibrium with the environment, e.g., electron spins. Cooling spins to a very low temperature without cooling the environment could lead to a breakthrough in nuclear magnetic resonance experiments, and our ``spin-refrigerating'' method suggests that this is possible. The scaling of NMR ensemble computers is probably the main obstacle to building useful quantum computing devices, and our spin-refrigerating method suggests that this problem can be resolved.
21 pages, 3 figures
Cited by in corpus (110)
- The role of quantum information in thermodynamics --- a topical review
- Quantum trajectories and open many-body quantum systems
- Quantum Equivalence and Quantum Signatures in Heat Engines
- Quantum Computing with NMR
- Coherence-assisted single-shot cooling by quantum absorption refrigerators
- Liquid State NMR as a Test-bed for Developing Quantum Control Methods
- Experimental implementation of heat-bath algorithmic cooling using solid-state nuclear magnetic resonance
- Characteristics of the Limit Cycle of a Reciprocating Quantum Heat Engine
- Noisy intermediate-scale quantum computers
- Quantum cellular automata quantum computing with endohedral fullerenes
- Collective operation of quantum heat machines via coherence recycling, and coherence induced reversibility
- Orbital excitation blockade and algorithmic cooling in quantum gases
- A spin based heat engine: demonstration of multiple rounds of algorithmic cooling
- Local effective dynamics of quantum systems: A generalized approach to work and heat
- Von Neumann entropy from unitarity
- Elementary Thermal Operations
- Thermodynamic limits of dynamic cooling
- Unifying paradigms of quantum refrigeration: A universal and attainable bound on cooling
- Quantum heat machines equivalence and work extraction beyond Markovianity, and strong coupling via heat exchangers
- Demon-like Algorithmic Quantum Cooling and its Realization with Quantum Optics
- Heat-Bath Algorithmic Cooling with optimal thermalization strategies
- Third Law of Thermodynamics as a Single Inequality
- Introduction to Quantum Algorithms for Physics and Chemistry
- The Asymptotic Cooling of Heat-Bath Algorithmic Cooling
- Optimal Efficiency of Heat Engines with Finite-Size Heat Baths
- Heat-Bath Algorithmic Cooling with correlated qubit-environment interactions
- Achievable polarization for Heat-Bath Algorithmic Cooling
- Ground state cooling of atoms in optical lattices
- On fault-tolerance with noisy and slow measurements
- Experimental Activation of Strong Local Passive States with Quantum Information
- A Cyclic Cooling Algorithm
- State Preparation on Quantum Computers via Quantum Steering
- Evolution-free Hamiltonian parameter estimation through Zeeman markers
- Global passivity in microscopic thermodynamics
- Quantum digital cooling
- Quantum advantage in simulating stochastic processes
- Roadmap on Quantum Thermodynamics
- Unifying paradigms of quantum refrigeration: fundamental limits of cooling and associated work costs
- Single-ion quantum Otto engine with always-on bath interaction
- Semi-optimal Practicable Algorithmic Cooling
- Correlation-Enhanced Algorithmic Cooling
- Thermodynamics from indistinguishability: mitigating and amplifying the effects of the bath
- Time-reversal formalism applied to maximal bipartite entanglement: Theoretical and experimental exploration
- Heat Bath Algorithmic Cooled Quantum Otto Engines
- Rapid purification of quantum systems by measuring in a feedback-controlled unbiased basis
- Hyperfine spin qubits in irradiated malonic acid: heat-bath algorithmic cooling
- Algorithmic Ground-state Cooling of Weakly-Coupled Oscillators using Quantum Logic
- Exponential improvement for quantum cooling through finite-memory effects
- Thermodynamics of quantum feedback cooling
- Dynamical control of quantum state transfer within hybrid open systems
- Optimizing thermalizations
- Projected Cooling Algorithm for Quantum Computation
- Heat-Bath Cooling of Spins in Two Amino Acids
- Bath Assisted Cooling of Spins
- Algorithmic Cooling in Liquid State NMR
- Fundamental Bounds on Qubit Reset
- Strong Algorithmic Cooling in Large Star-Topology Quantum Registers
- Cooling toolbox for atoms in optical lattices
- Novel Technique for Robust Optimal Algorithmic Cooling
- Trading coherence and entropy by a quantum Maxwell demon
- Power of one non-clean qubit
- Scalability of quantum computation with addressable optical lattices
- Dynamic Cooling on Contemporary Quantum Computers
- Quantum Computing by Cooling
- Few-qubit quantum refrigerator for cooling a multi-qubit system
- Thermodynamics of a minimal algorithmic cooling refrigerator
- Experimental Realization of Self-Contained Quantum Refrigeration
- 'Algorithmic cooling' in a momentum state quantum computer
- Scaling issues in ensemble implementations of the Deutsch-Jozsa algorithm
- Algorithmic Cooling of Nuclear Spin Pairs using a Long-Lived Singlet State
- Dilute measurement-induced cooling into many-body ground states
- Thermodynamic Analysis of Algorithmic Cooling Protocols: Efficiency Metrics and Improved Designs
- Bounds on the entanglability of thermal states in liquid-state nuclear magnetic resonance
- Bang-Bang Optimal Control of Large Spin Systems: Enhancement of C-C Singlet-Order at Natural Abundance
- Quantum algorithm for preparing the ground state of a system via resonance transition
- Programmable adiabatic demagnetization for systems with trivial and topological excitations
- Probabilistic Eigensolver with a Trapped-Ion Quantum Processor
- Breaking the limits of purification: Postselection enhances heat-bath algorithmic cooling
- Classical to quantum in large number limit
- No-go Theorem of Purification
- Quantum Computing Gates via Optimal Control
- Boltzmann Distributions on a Quantum Computer via Active Cooling
- Maximizing the purity of a qubit evolving in an anisotropic environment
- Testing a Quantum Heat Pump with a Two-Level Spin
- Quantum noise can enhance algorithmic cooling
- Subsystem Pseudo-pure States
- Quantum techniques for eigenvalue problems
- Seeking Maxwell's Demon in a non-reciprocal quantum ring
- Discrimination of unitary transformations in the Deutsch-Jozsa algorithm
- Cooling to absolute zero: The unattainability principle
- State-independent robust heat-bath algorithmic cooling of nuclear spins
- Gauged cooling of topological excitations and emergent fermions on quantum simulators
- The second law and beyond in microscopic quantum setups
- Informational non-equilibrium concentration
- Thermodynamic state convertibility is determined by qubit cooling and heating
- Thermalization of finite complexity and its application to heat bath algorithmic cooling
- Expressivity of deterministic quantum computation with one qubit
- Sharing Polarization within Quantum Subspaces
- Algorithmic cooling for resolving state preparation and measurement errors in quantum computing
- Non-equilibrium reversible dynamics of work production in four-spin system in a magnetic field
- Optimal Manipulation Of Correlations And Temperature In Quantum Thermodynamics
- Statistical comparison of ensemble implementations of Grover's search algorithm to classical sequential searches
- Post-selection-free preparation of high-quality physical qubits
- Algorithmic Cooling of Spins: A Practicable Method for Increasing Polarization
- Cooling and work extraction under memory-assisted Markovian thermal processes
- Dynamical complexity of non-Gaussian many-body systems with dissipation
- Star-topology Registers: NMR and Quantum Information Perspectives
- Dominant vibronic relaxation channels in a europium-based molecular qubit
- A quantum algorithm for obtaining the lowest eigenstate of a Hamiltonian assisted with an ancillary qubit system
- Efficiently preparing chiral states via fermionic cooling on bosonic quantum hardware