Existing schemes for demonstrating quantum computational advantage are subject to various practical restrictions, including the hardness of verification and challenges in experimental implementation. Meanwhile, analog quantum simulators have been realized in many experiments to study novel physics. In this work, we propose a quantum advantage protocol based on verification of an analog quantum simulation, in which the verifier need only run an -time classical computation, and the prover need only prepare samples of a history state and perform single-qubit measurements, for a security parameter . We also propose a near-term feasible strategy for honest provers and discuss potential experimental realizations. Published by the American Physical Society2025
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Optimization Tools for Distance-Preserving Flag Fault-Tolerant Error Correction
Lookup-table decoding is fast and distance preserving, making it attractive for near-term quantum computer architectures with small-distance quantum error-correcting codes. In this work, we develop several optimization tools that can potentially reduce the space and time overhead required for flag fault-tolerant quantum error correction (FTQEC) with lookup-table decoding on Calderbank-Shor-Steane (CSS) codes. Our techniques include the compact lookup-table construction, the meet-in-the-middle technique, the adaptive time decoding for flag FTQEC, the classical processing technique for flag information, and the separate - and -counting technique. We evaluate the performance of our tools using numerical simulation of hexagonal color codes of distances 3, 5, 7, and 9 under circuit-level noise. Combining all tools can result in an increase of more than an order of magnitude in the pseudothreshold for the hexagonal color code of distance 9, from to . Published by the American Physical Society2024
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- Award ID(s):
- 2120757
- PAR ID:
- 10592836
- Publisher / Repository:
- PRX Quantum
- Date Published:
- Journal Name:
- PRX Quantum
- Volume:
- 5
- Issue:
- 2
- ISSN:
- 2691-3399
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
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