The computational power of random quantum circuits in arbitrary geometries

• URL: http://arxiv.org/abs/2406.02501v3
• Date: Fri, 21 Jun 2024 16:56:15 GMT
• Title: The computational power of random quantum circuits in arbitrary geometries
• Authors: Matthew DeCross, Reza Haghshenas, Minzhao Liu, Enrico Rinaldi, Johnnie Gray, Yuri Alexeev, Charles H. Baldwin, John P. Bartolotta, Matthew Bohn, Eli Chertkov, Julia Cline, Jonhas Colina, Davide DelVento, Joan M. Dreiling, Cameron Foltz, John P. Gaebler, Thomas M. Gatterman, Christopher N. Gilbreth, Joshua Giles, Dan Gresh, Alex Hall, Aaron Hankin, Azure Hansen, Nathan Hewitt, Ian Hoffman, Craig Holliman, Ross B. Hutson, Trent Jacobs, Jacob Johansen, Patricia J. Lee, Elliot Lehman, Dominic Lucchetti, Danylo Lykov, Ivaylo S. Madjarov, Brian Mathewson, Karl Mayer, Michael Mills, Pradeep Niroula, Juan M. Pino, Conrad Roman, Michael Schecter, Peter E. Siegfried, Bruce G. Tiemann, Curtis Volin, James Walker, Ruslan Shaydulin, Marco Pistoia, Steven. A. Moses, David Hayes, Brian Neyenhuis, Russell P. Stutz, Michael Foss-Feig,
• Abstract summary: Recent upgrades to Quantinuum's H2 quantum computer enable it to operate on up to $56$ qubits with arbitrary connectivity and $99.843(5)%$ two-qubit gate fidelity. We present data from random circuit sampling in highly connected geometries, doing so at unprecedented fidelities and a scale that appears to be beyond the capabilities of state-of-the-art classical algorithms.
• Score: 1.5683842542033573
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Empirical evidence for a gap between the computational powers of classical and quantum computers has been provided by experiments that sample the output distributions of two-dimensional quantum circuits. Many attempts to close this gap have utilized classical simulations based on tensor network techniques, and their limitations shed light on the improvements to quantum hardware required to frustrate classical simulability. In particular, quantum computers having in excess of $\sim 50$ qubits are primarily vulnerable to classical simulation due to restrictions on their gate fidelity and their connectivity, the latter determining how many gates are required (and therefore how much infidelity is suffered) in generating highly-entangled states. Here, we describe recent hardware upgrades to Quantinuum's H2 quantum computer enabling it to operate on up to $56$ qubits with arbitrary connectivity and $99.843(5)\%$ two-qubit gate fidelity. Utilizing the flexible connectivity of H2, we present data from random circuit sampling in highly connected geometries, doing so at unprecedented fidelities and a scale that appears to be beyond the capabilities of state-of-the-art classical algorithms. The considerable difficulty of classically simulating H2 is likely limited only by qubit number, demonstrating the promise and scalability of the QCCD architecture as continued progress is made towards building larger machines.

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