Jon Nelson

activity

20232026

most citedHamiltonians whose low-energy states require

Ω (n)

T gates

2 citations · 3 across the 9 of their papers we have counts for

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Showing 2023 · quant-phShow all

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quant-ph2023

Fault-Tolerant Quantum Memory using Low-Depth Random Circuit Codes

Jon Nelson, Gregory Bentsen, Steven T. Flammia +1

Low-depth random circuit codes possess many desirable properties for quantum error correction but have so far only been analyzed in the code capacity setting where it is assumed th…

quant-ph2023★ 2 cited

Hamiltonians whose low-energy states require $Ω (n)$ T gates

Nolan J. Coble, Matthew Coudron, Jon Nelson +1

The recent resolution of the NLTS Conjecture [ABN22] establishes a prerequisite to the Quantum PCP (QPCP) Conjecture through a novel use of newly-constructed QLDPC codes [LZ22]. Ev…

Fault-Tolerant Quantum Memory using Low-Depth Random Circuit Codes

Hamiltonians whose low-energy states require Ω(n) T gates

Hamiltonians whose low-energy states require $Ω (n)$ T gates