Enhancing Quantum Computation via Superposition of Quantum Gates

Abstract

Overcoming the influence of noise and imperfections in quantum devices is one of the main challenges for viable quantum applications. In this article, we present different protocols, which we denote as "superposed quantum error mitigation", that enhance the fidelity of single gates or entire computations by performing them in coherent superposition. Our results demonstrate that via our methods, significant noise suppression can be achieved for most kinds of decoherence and standard experimental parameter regimes. Our protocols can be either deterministic, such that the outcome is never post-selected, or probabilistic, in which case the resulting state must be discarded unless a well-specified condition is met. By using sufficiently many resources and working under broad assumptions, our methods can yield the desired output state with unit fidelity. Finally, we analyze our approach for gate-based, measurement-based and interferometric-based models, demonstrating the applicability in all cases and investigating the fundamental mechanisms they rely upon.

arXiv comment26+13 pages, 13+2 figures; published version

References in corpus (55)

• Quantum Computing in the NISQ era and beyond
• Supplementary information for "Quantum supremacy using a programmable superconducting processor"
• Elementary gates for quantum computation
• Persistent entanglement in arrays of interacting particles
• Noisy intermediate-scale quantum (NISQ) algorithms
• Adiabatic Quantum Computing
• Improved Simulation of Stabilizer Circuits
• Quantum Computing
• Error mitigation for short-depth quantum circuits
• Experimental One-Way Quantum Computing
• Optical Quantum Computing
• Measurement-based quantum computation
• A Theory of Fault-Tolerant Quantum Computation
• A simple formula for the average gate fidelity of a quantum dynamical operation
• Parallel implementation of high-fidelity multi-qubit gates with neutral atoms
• Roads towards fault-tolerant universal quantum computation
• Realization of Three-Qubit Quantum Error Correction with Superconducting Circuits
• A meet-in-the-middle algorithm for fast synthesis of depth-optimal quantum circuits
• Quantum Memories. A Review based on the European Integrated Project "Qubit Applications (QAP)"
• Quantum memories: emerging applications and recent advances
• Deterministic generation of a two-dimensional cluster state
• Deterministic Generation of a Cluster State of Entangled Photons
• A universal qudit quantum processor with trapped ions
• Quantum Error Correction: An Introductory Guide
• Realization of the quantum Toffoli gate with trapped ions
• Graphical description of the action of local Clifford transformations on graph states
• Entanglement purification and quantum error correction
• Experimental Superposition of Orders of Quantum Gates
• Computational advantage from quantum-controlled ordering of gates
• Enhanced communication with the assistance of indefinite causal order
• Orbital angular momentum states enabling fiber-based high-dimensional quantum communication
• A quantum Fredkin gate
• Exponential Error Suppression for Near-Term Quantum Devices
• Experimental transmission of quantum information using a superposition of causal orders
• Indefinite causal order enables perfect quantum communication with zero capacity channels
• Practical trapped-ion protocols for universal qudit-based quantum computing
• Quantum Shannon theory with superpositions of trajectories
• Quantum Switch for the Quantum Internet: Noiseless Communications through Noisy Channels
• High-fidelity three-qubit iToffoli gate for fixed-frequency superconducting qubits
• Standard forms of noisy quantum operations via depolarization
• Implementing quantum control for unknown subroutines
• Experimental Quantum Communication Enhancement by Superposing Trajectories
• Communication through coherent control of quantum channels
• Communication through quantum-controlled noise
• Quantum gates on hybrid qudits
• Resource theories of communication
• Error Filtration and Entanglement Purification for Quantum Communication
• Coherent controlization using superconducting qubits
• Fast multi-qubit gates through simultaneous two-qubit gates
• Genuine quantum networks: superposed tasks and addressing
• High dimensional measurement device independent quantum key distribution on two dimensional subspaces
• Representation of binary classification trees with binary features by quantum circuits
• Superposed Quantum Error Mitigation
• Error Suppression for Arbitrary-Size Black Box Quantum Operations
• Coherent randomized benchmarking

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• Experimental Aspects of Indefinite Causal Order in Quantum Mechanics
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• Improving entanglement purification through coherent superposition of roles
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