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UID:www.tcs.tifr.res.in/event/1322
DTSTAMP:20230914T125959Z
SUMMARY:Quantum error correction using Generalized surface codes
DESCRIPTION:Speaker: Pavithran Iyer (Xanadu Quantum Technologies\, Canada)\
n\nAbstract: \nA large-scale quantum computer is envisioned to leverage th
e theoretical guarantees of the fault-tolerant accuracy threshold theorem
to ensure that long computations be carried out reliably\, even in the pre
sence of noise. Quantum Error Correction (QEC) is an integral part of an F
T protocol specifying noise-resilient quantum information storage. Quantum
error-correcting codes encode information in entangled states of many phy
sical qubits. Topological stabilizer codes are a widely studied class of
quantum error-correcting codes wherein the physical qubits are associated
with a tessellation of a surface. The geometric locality of physical qubi
ts in topological codes has both advantages and drawbacks. On the positive
side\, it simplifies the engineering challenges of implementing them on c
ertain hardware platforms. However\, it imposes a strict limitation on the
scaling of the fraction of logical qubits that can be encoded per physica
l qubit. In general\, it is useful to know several parameters of a surface
code to deem its usefulness.\nIn this presentation\, I will introduce a g
eneralized formalism for the study of a specific subclass of topological c
odes called surface codes. Based on findings from [1]\, I will demonstrate
an efficient method to compute the number of logical qubits and the dista
nce of a generalized surface code. Additionally\, I will discuss results f
rom [2]\, showing how to effectively benchmark the performance of generali
zed surface codes under the error model described by quantum erasures. Las
tly\, I will present a tool from [3] that facilitates the analysis of gene
ralized surface codes.\nRelated works:\n[1]: Generalized surface codes and
packing of logical qubits. Nicolas Delfosse\, Pavithran Iyer\, David Poul
in. https://arxiv.org/abs/1606.07116\n[2]: A linear-time benchmarking tool
for generalized surface codes. Nicolas Delfosse\, Pavithran Iyer\, David
Poulin.\nhttps://arxiv.org/abs/1611.04256.\n[3]: SQUAB: A Fast Benchmarkin
g Software for Surface Quantum Computing\nArchitectures. http://quantum-sq
uab.com [1].\n
URL:https://www.tcs.tifr.res.in/web/events/1322
DTSTART;TZID=Asia/Kolkata:20230801T160000
DTEND;TZID=Asia/Kolkata:20230801T170000
LOCATION:in person @ R.No. AG-69 and also via Zoom
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