Strong Algorithmic Cooling in Large Star-Topology Quantum Registers

Abstract

Cooling the qubit into a pure initial state is crucial for realizing fault-tolerant quantum information processing. Here we envisage a star-topology arrangement of reset and computation qubits for this purpose. The reset qubits cool or purify the computation qubit by transferring its entropy to a heat-bath with the help of a heat-bath algorithmic cooling procedure. By combining standard NMR methods with powerful quantum control techniques, we cool central qubits of two large star topology systems, with 13 and 37 spins respectively. We obtain polarization enhancements by a factor of over 24, and an associated reduction in the spin temperature from 298 K down to 12 K. Exploiting the enhanced polarization of computation qubit, we prepare combination-coherences of orders up to 15. By benchmarking the decay of these coherences we investigate the underlying noise process. Further, we also cool a pair of computation qubits and subsequently prepare them in an effective pure-state.

arXiv comment9 pages, 10 figures; close to published version

References in corpus (17)

• The Physical Implementation of Quantum Computation
• Magnetic field sensing beyond the standard quantum limit using 10-spin NOON states
• Benchmarking quantum control methods on a 12-qubit system
• Algorithmic Cooling and Scalable NMR Quantum Computers
• Experimental implementation of heat-bath algorithmic cooling using solid-state nuclear magnetic resonance
• Optimal purification of single qubits
• A spin based heat engine: demonstration of multiple rounds of algorithmic cooling
• The Asymptotic Cooling of Heat-Bath Algorithmic Cooling
• Achievable polarization for Heat-Bath Algorithmic Cooling
• NMR implementation of a building block for scalable quantum computation
• Polarizing the electronic and nuclear spin of the NV-center in diamond in arbitrary magnetic fields: analysis of the optical pumping process
• Semi-optimal Practicable Algorithmic Cooling
• Hyperfine spin qubits in irradiated malonic acid: heat-bath algorithmic cooling
• Implementation of NMR quantum computation with para-hydrogen derived high purity quantum states
• Heat-Bath Cooling of Spins in Two Amino Acids
• Algorithmic Cooling in Liquid State NMR
• Spectral investigation of the noise influencing multi-qubit states

Cited by in corpus (11)

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• NMR investigations of quantum battery using star-topology spin systems
• Observation of quantum phase-synchronization in a nuclear spin-system
• Novel Technique for Robust Optimal Algorithmic Cooling
• Ancilla Induced Amplification of Quantum Fisher Information
• Controlling NMR spin systems for quantum computation
• Bang-Bang Optimal Control of Large Spin Systems: Enhancement of ${}^{13}$C-${}^{13}$C Singlet-Order at Natural Abundance
• State-independent robust heat-bath algorithmic cooling of nuclear spins
• Experimental Implementation of a NMR NOON State Thermomete
• Asymptotic freedom in the dephased charging of quantum batteries
• Star-topology Registers: NMR and Quantum Information Perspectives