Error Suppression for Arbitrary-Size Black Box Quantum Operations

Abstract

Efficient suppression of errors without full error correction is crucial for applications with NISQ devices. Error mitigation allows us to suppress errors in extracting expectation values without the need for any error correction code, but its applications are limited to estimating expectation values, and cannot provide us with high-fidelity quantum operations acting on arbitrary quantum states. To address this challenge, we propose to use error filtration (EF) for gate-based quantum computation, as a practical error suppression scheme without resorting to full quantum error correction. The result is a general-purpose error suppression protocol where the resources required to suppress errors scale independently of the size of the quantum operation, and does not require any logical encoding of the operation. The protocol provides error suppression whenever an error hierarchy is respected -- that is, when the ancilliary cSWAP operations are less noisy than the operation to be corrected. We further analyze the application of EF to quantum random access memory, where EF offers hardware-efficient error suppression.

References in corpus (5)

• Quantum random access memory
• Architectures for a quantum random access memory
• Optimal (controlled) quantum state preparation and improved unitary synthesis by quantum circuits with any number of ancillary qubits
• Experimental quantum key distribution over highly noisy channels
• Quantum Error Mitigation by Pauli Check Sandwiching

Cited by in corpus (8)

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• Enhancing Quantum Computation via Superposition of Quantum Gates
• Error suppression in multicomponent cat codes with photon subtraction and teleamplification
• Implementation of a quantum addressable router using superconducting qubits
• Optimal and robust error filtration for quantum information processing
• Symmetric channel verification for purifying noisy quantum channels
• Refined Criteria for QRAM Error Suppression via Efficient Large-Scale QRAM Simulator
• Linear-optical protocols for mitigating and suppressing noise in bosonic systems