Zobrazeno 1 - 10
of 145
pro vyhledávání: '"Haah, Jeongwan"'
In three dimensions, there is a nontrivial quantum cellular automaton (QCA) which disentangles the three-fermion Walker--Wang model, a model whose action depends on Stiefel--Whitney classes of the spacetime manifold. Here we present a conjectured gen
Externí odkaz:
http://arxiv.org/abs/2407.07951
Random reversible and quantum circuits form random walks on the alternating group $\mathrm{Alt}(2^n)$ and unitary group $\mathrm{SU}(2^n)$, respectively. Known bounds on the spectral gap for the $t$-th moment of these random walks have inverse-polyno
Externí odkaz:
http://arxiv.org/abs/2406.07478
We construct random walks on simple Lie groups that quickly converge to the Haar measure for all moments up to order $t$. Specifically, a step of the walk on the unitary or orthognoal group of dimension $2^{\mathsf n}$ is a random Pauli rotation $e^{
Externí odkaz:
http://arxiv.org/abs/2402.05239
The surface code is one of the most popular quantum error correction codes. It comes with efficient decoders, such as the Minimum Weight Perfect Matching (MWPM) decoder and the Union-Find (UF) decoder, allowing for fast quantum error correction. For
Externí odkaz:
http://arxiv.org/abs/2309.15354
We develop protocols for Hastings-Haah Floquet codes in the presence of dead qubits.
Comment: 12 pages, 6 figures (correction to Fig. 4 and minor errors)
Comment: 12 pages, 6 figures (correction to Fig. 4 and minor errors)
Externí odkaz:
http://arxiv.org/abs/2307.03715
We investigate the evolution of quantum information under Pauli measurement circuits. We focus on the case of one- and two-dimensional systems, which are relevant to the recently introduced Floquet topological codes. We define local reversibility in
Externí odkaz:
http://arxiv.org/abs/2304.01277
Publikováno v:
2023 IEEE 64th Annual Symposium on Foundations of Computer Science (FOCS), Santa Cruz, CA, USA, 2023, pp. 363-390
We consider process tomography for unitary quantum channels. Given access to an unknown unitary channel acting on a $\textsf{d}$-dimensional qudit, we aim to output a classical description of a unitary that is $\varepsilon$-close to the unknown unita
Externí odkaz:
http://arxiv.org/abs/2302.14066
Autor:
Haah, Jeongwan
Publikováno v:
Commun. Math. Phys. 403, 661-698 (2023)
We introduce invertible subalgebras of local operator algebras on lattices. An invertible subalgebra is defined to be one such that every local operator can be locally expressed by elements of the inveritible subalgebra and those of the commutant. On
Externí odkaz:
http://arxiv.org/abs/2211.02086
Autor:
Haah, Jeongwan
A quantum cellular automaton (QCA) or a causal unitary is by definition an automorphism of local operator algebra, by which local operators are mapped to local operators. Quantum circuits of small depth, local Hamiltonian evolutions for short time, a
Externí odkaz:
http://arxiv.org/abs/2205.09141
Autor:
Paetznick, Adam, Knapp, Christina, Delfosse, Nicolas, Bauer, Bela, Haah, Jeongwan, Hastings, Matthew B., da Silva, Marcus P.
Publikováno v:
PRX Quantum 4, 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:
http://arxiv.org/abs/2202.11829