English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Tools annual

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

Generating samples from the output distribution of a quantum circuit is aubiquitous task used as a building block of many quantum algorithms. Here weshow how to accomplish this task on a noisy quantum processor lackingfull-blown error correction for a special class of quantum circuits dominatedby Clifford gates. Our approach is based on Coherent Pauli Checks (CPCs) thatdetect errors in a Clifford circuit by verifying commutation rules betweenrandom Pauli-type check operators and the considered circuit. Our maincontributions are as follows. First, we derive a simple formula for theprobability that a Clifford circuit protected by CPCs contains a logical error.In the limit of a large number of checks, the logical error probability isshown to approach the value ${\approx}7\epsilon n/5$, where $n$ is the numberof qubits and $\epsilon$ is the depolarizing error rate. Our formula agreesnearly perfectly with the numerical simulation results. Second, we show thatCPCs are well-suited for quantum processors with a limited qubit connectivity.For example, the difference between all-to-all and linear qubit connectivity isonly a 3X increase in the number of CNOT gates required to implement CPCs.Third, we describe simplified one-sided CPCs which are well-suited formitigating measurement errors in the single-shot settings. Finally, we reportan experimental demonstration of CPCs with up to 10 logical qubits and morethan 100 logical CNOT gates. Our experimental results show that CPCs provide amarked improvement in the logical error probability for the considered task ofsampling the output distribution of quantum circuits.

Single-shot error mitigation by coherent Pauli checks