Rescaling interactions for quantum control
arXiv:1911.04806 · doi:10.1103/PhysRevApplied.13.034002
Abstract
A powerful control method in experimental quantum computing is the use of spin echoes, employed to select a desired term in the system's internal Hamiltonian, while refocusing others. Here we address a more general problem, describing a method to not only turn on and off particular interactions but also to rescale their strengths so that we can generate any desired effective internal Hamiltonian. We propose an algorithm based on linear programming for achieving time-optimal rescaling solutions in fully coupled systems of tens of qubits, which can be modified to obtain near time-optimal solutions for rescaling systems with hundreds of qubits.
Minor corrections and clarifications
References in corpus (27)
- Supplementary information for "Quantum supremacy using a programmable superconducting processor"
- Quantum Computation with Quantum Dots
- Elementary gates for quantum computation
- Quantum Computing in Molecular Magnets
- Prescription for experimental determination of the dynamics of a quantum black box
- Entanglement of atoms via cold controlled collisions
- A simple formula for the average gate fidelity of a quantum dynamical operation
- Quantum Logic Gates in Optical Lattices
- Building logical qubits in a superconducting quantum computing system
- Fidelity of quantum operations
- Fast quantum logic gates with trapped-ion qubits
- Implementation of the Five Qubit Error Correction Benchmark
- Bang-bang control of fullerene qubits using ultra-fast phase gates
- Quantum Computing with NMR
- Fidelity of Single Qubit Maps
- Efficient Quantum Circuits for Diagonal Unitaries Without Ancillas
- Efficient Refocussing of One Spin and Two Spin Interactions for NMR Quantum Computation
- Efficient implementation of selective recoupling in heteronuclear spin systems using Hadamard matrices
- Complementary classical fidelities as an efficient criterion for the evaluation of experimentally realized quantum operations
- Robust Ising Gates for Practical Quantum Computation
- A programmable two-qubit solid-state quantum processor under ambient conditions
- NMR quantum computation with indirectly coupled gates
- Designing short robust NOT gates for quantum computation
- Experimental Observation of a Topological Phase in the Maximally Entangled State of a Pair of Qubits
- Compiling gate networks on an Ising quantum computer
- Programmable quantum simulation by dynamic Hamiltonian engineering
- Quantum Process Fidelity Bounds from Sets of Input States
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- Universal quantum processors in spin systems via robust local pulse sequences
- General, efficient, and robust Hamiltonian engineering