Zobrazeno 1 - 10
of 60
pro vyhledávání: '"Jeongwan Haah"'
Autor:
Adam Paetznick, Christina Knapp, Nicolas Delfosse, Bela Bauer, Jeongwan Haah, Matthew B. Hastings, Marcus P. da Silva
Publikováno v:
PRX Quantum, Vol 4, Iss 1, p 010310 (2023)
Quantum error correction is crucial for any quantum computing platform to achieve truly scalable quantum computation. The surface code and its variants have been considered the most promising quantum error correction scheme due to their high threshol
Externí odkaz:
https://doaj.org/article/a8cdc395ae9a4fc29f95861117a91639
Autor:
Jeongwan Haah, Matthew B. Hastings
Publikováno v:
Quantum, Vol 6, p 693 (2022)
We introduce a simple construction of boundary conditions for the honeycomb code \cite{honeycomb} that uses only pairwise checks and allows parallelogram geometries at the cost of modifying the bulk measurement sequence. We discuss small instances of
Externí odkaz:
https://doaj.org/article/7b6e01d250d44a82a89043860cd4a93a
Autor:
Matthew B. Hastings, Jeongwan Haah
Publikováno v:
Quantum, Vol 5, p 564 (2021)
We present a quantum error correcting code with $\textit{dynamically generated logical qubits}$. When viewed as a subsystem code, the code has no logical qubits. Nevertheless, our measurement patterns generate logical qubits, allowing the code to act
Externí odkaz:
https://doaj.org/article/b7f5d8dcb23c4c95a246276451fbbe0d
Autor:
Jeongwan Haah, Matthew B. Hastings
Publikováno v:
Quantum, Vol 5, p 383 (2021)
Magic state distillation uses special codes to suppress errors in input states, which are often tailored to a Clifford-twirled error model. We present detailed measurement sequences for magic state distillation protocols which can suppress arbitrary
Externí odkaz:
https://doaj.org/article/e88f8c38ef2746859263b7c9960c2753
Publikováno v:
Quantum, Vol 5, p 382 (2021)
Motivated by recent work showing that a quantum error correcting code can be generated by hybrid dynamics of unitaries and measurements, we study the long time behavior of such systems. We demonstrate that even in the ``mixed'' phase, a maximally mix
Externí odkaz:
https://doaj.org/article/83ca876b0bc54742915dcd5170df22f1
Autor:
Jeongwan Haah
Publikováno v:
SciPost Physics, Vol 10, Iss 1, p 011 (2021)
We introduce a notion of homogeneous topological order, which is obeyed by most, if not all, known examples of topological order including fracton phases on quantum spins (qudits). The notion is a condition on the ground state subspace, rather tha
Externí odkaz:
https://doaj.org/article/40c14e6c31c04e4b9ebc7569c3ff7da0
Publikováno v:
Quantum, Vol 4, p 352 (2020)
The surface code is a prominent topological error-correcting code exhibiting high fault-tolerance accuracy thresholds. Conventional schemes for error correction with the surface code place qubits on a planar grid and assume native CNOT gates between
Externí odkaz:
https://doaj.org/article/f6c1dbca9e9d4c2db941a385571403c7
Autor:
Jeongwan Haah
Publikováno v:
Quantum, Vol 3, p 190 (2019)
We consider an algorithm to approximate complex-valued periodic functions $f(e^{i\theta})$ as a matrix element of a product of $SU(2)$-valued functions, which underlies so-called quantum signal processing. We prove that the algorithm runs in time $\m
Externí odkaz:
https://doaj.org/article/d6698b548b734cfc8e09f3455a0de5dc
Autor:
Jeongwan Haah, Matthew B. Hastings
Publikováno v:
Quantum, Vol 2, p 71 (2018)
We present several different codes and protocols to distill $T$, controlled-$S$, and Toffoli (or $CCZ$) gates. One construction is based on codes that generalize the triorthogonal codes, allowing any of these gates to be induced at the logical level
Externí odkaz:
https://doaj.org/article/7e0bde4d670a4accb32fec1f8013e48c
Publikováno v:
Physical Review X, Vol 8, Iss 2, p 021014 (2018)
Random quantum circuits yield minimally structured models for chaotic quantum dynamics, which are able to capture, for example, universal properties of entanglement growth. We provide exact results and coarse-grained models for the spreading of opera
Externí odkaz:
https://doaj.org/article/852c72fce03c4beea76bced36462828a