Randomized Benchmarking of Multi-Qubit Gates

Abstract

As experimental platforms for quantum information processing continue to mature, characterization of the quality of unitary gates that can be applied to their quantum bits (qubits) becomes essential. Eventually, the quality must be sufficiently high to support arbitrarily long quantum computations. Randomized benchmarking already provides a platform-independent method for assessing the quality of one-qubit rotations. Here we describe an extension of this method to multi-qubit gates. We provide a platform-independent protocol for evaluating the performance of experimental Clifford unitaries, which form the basis of fault-tolerant quantum computing. We implemented the benchmarking protocol with trapped-ion two-qubit phase gates and one-qubit gates and found an error per random two-qubit Clifford unitary of $0.162\pm 0.008$, thus setting the first benchmark for such unitaries. By implementing a second set of sequences with an extra two-qubit phase gate at each step, we extracted an error per phase gate of $0.069\pm 0.017$. We conducted these experiments with movable, sympathetically cooled ions in a multi-zone Paul trap - a system that can in principle be scaled to larger numbers of ions.

Corrected description of parallel single-qubit benchmark experiment. Results unchanged

References in corpus (25)

• Quantum Computing
• Improved Simulation of Stabilizer Circuits
• Quantum computation with ions in thermal motion
• Randomized Benchmarking of Quantum Gates
• Reliable Quantum Computers
• Prescription for experimental determination of the dynamics of a quantum black box
• Robust randomized benchmarking of quantum processes
• Complete Characterization of a Quantum Process: the Two-Bit Quantum Gate
• Exact and Approximate Unitary 2-Designs: Constructions and Applications
• Towards fault-tolerant quantum computing with trapped ions
• Characterizing Quantum Gates via Randomized Benchmarking
• Complete methods set for scalable ion trap quantum information processing
• Randomized benchmarking and process tomography for gate errors in a solid-state qubit
• Implementing optimal control pulse shaping for improved single-qubit gates
• Single-qubit-gate error below 10^-4 in a trapped ion
• Process tomography of ion trap quantum gates
• Errors in trapped-ion quantum gates due to spontaneous photon scattering
• Entangled Mechanical Oscillators
• Phase Control of Trapped Ion Quantum Gates
• Realisation of a programmable two-qubit quantum processor
• Entanglement of Trapped-Ion Clock States
• Randomized benchmarking of single and multi-qubit control in liquid-state NMR quantum information processing
• Decoherence due to elastic Rayleigh scattering
• Deterministic entanglement and tomography of ion spin qubits
• Randomized benchmarking of atomic qubits in an optical lattice

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