Superconducting qubit circuit emulation of a vector spin-1/2

Abstract

We propose a superconducting qubit circuit that can fully emulate a quantum vector spin-1/2, with an effective dipole moment having three independent components whose operators obey the commutation relations of a vector angular momentum in the computational subspace. Each component couples to an independently-controllable external bias, emulating the Zeeman effect due to a fictitious, vector magnetic field, and all three of these vector components remain relatively constant over a broad range of emulated total fields around zero. This capability, combined with established techniques for qubit coupling, should enable for the first time the direct hardware emulation of nearly arbitrary quantum spin-1/2 systems, including the canonical Heisenberg model. Furthermore, it would constitute a crucial step both towards realizing the full potential of quantum annealing, as well as exploring important quantum information processing capabilities that have so far been inaccessible to available hardware, such as quantum error suppression, Hamiltonian and holonomic quantum computing, and adiabatic quantum chemistry.

version 3: 23 pages, 12 figures, 2 tables. Substantial revisions in response to referee comments

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Cited by in corpus (11)

• Prospects for Quantum Enhancement with Diabatic Quantum Annealing
• Demonstration of nonstoquastic Hamiltonian in coupled superconducting flux qubits
• Customized quantum annealing schedules
• Nonpairwise interactions induced by virtual transitions in four coupled artificial atoms
• Locally Suppressed Transverse-Field Protocol for Diabatic Quantum Annealing
• Controllable tunnelling of single flux-quanta mediated by quantum phase-slip in disordered superconducting loops
• Validating a Two Qubit Non-Stoquastic Hamiltonian in Quantum Annealing
• Optimizing for periodicity: a model-independent approach to flux crosstalk calibration for superconducting circuits
• Singular transport in non-equilibrium strongly internal-coupled 1D tilted field spin-1/2 chain
• Ultrastrong capacitive coupling of flux qubits
• Three-Josephson Junctions Flux Qubit Couplings