Zobrazeno 1 - 10
of 17
pro vyhledávání: '"Glaudell, Andrew N."'
Publikováno v:
EPTCS 406, 2024, pp. 44-62
It is known that the matrices that can be exactly represented by a multiqubit circuit over the Toffoli+Hadamard, Clifford+$T$, or, more generally, Clifford-cyclotomic gate set are precisely the unitary matrices with entries in the ring $\mathbb{Z}[1/
Externí odkaz:
http://arxiv.org/abs/2405.08136
Autor:
Amy, Matthew, Glaudell, Andrew N., Kelso, Shaun, Maxwell, William, Mendelson, Samuel S., Ross, Neil J.
Let $n\geq 8$ be divisible by 4. The Clifford-cyclotomic gate set $\mathcal{G}_n$ is the universal gate set obtained by extending the Clifford gates with the $z$-rotation $T_n = \mathrm{diag}(1,\zeta_n)$, where $\zeta_n$ is a primitive $n$-th root of
Externí odkaz:
http://arxiv.org/abs/2311.07741
The matrices that can be exactly represented by a circuit over the Toffoli-Hadamard gate set are the orthogonal matrices of the form $M/ \sqrt{2}{}^k$, where $M$ is an integer matrix and $k$ is a nonnegative integer. The exact synthesis problem for t
Externí odkaz:
http://arxiv.org/abs/2305.11305
We study two-qubit circuits over the Clifford+CS gate set, which consists of the Clifford gates together with the controlled-phase gate CS=diag(1,1,1,i). The Clifford+CS gate set is universal for quantum computation and its elements can be implemente
Externí odkaz:
http://arxiv.org/abs/2001.05997
Publikováno v:
Quantum 4, 252 (2020)
Kliuchnikov, Maslov, and Mosca proved in 2012 that a $2\times 2$ unitary matrix $V$ can be exactly represented by a single-qubit Clifford+$T$ circuit if and only if the entries of $V$ belong to the ring $\mathbb{Z}[1/\sqrt{2},i]$. Later that year, Gi
Externí odkaz:
http://arxiv.org/abs/1908.06076
Publikováno v:
Annals of Physics, Vol. 406, pp. 54-70, 2019
We introduce canonical forms for single qutrit Clifford+T circuits and prove that every single-qutrit Clifford+T operator admits a unique such canonical form. We show that our canonical forms are T-optimal in the sense that among all the single-qutri
Externí odkaz:
http://arxiv.org/abs/1803.05047
Advances in single photon creation, transmission, and detection suggest that sending quantum information over optical fibers may have losses low enough to be correctable using a quantum error correcting code. Such error-corrected communication is equ
Externí odkaz:
http://arxiv.org/abs/1508.05966
Publikováno v:
In Annals of Physics July 2019 406:54-70
Publikováno v:
Gall, F. Le (ed.), TQC 2022: 17th Conference on the Theory of Quantum Computation, Communication and Cryptography, July 11-15, 2022, Urbana Champaign, Illinois, USA, pp. 12:1-12:15
A popular universal gate set for quantum computing with qubits is Clifford+T, as this can be readily implemented on many fault-tolerant architectures. For qutrits, there is an equivalent T gate, that, like its qubit analogue, makes Clifford+T approxi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::07f501c92fd18a815412d2beed1005f4
https://repository.ubn.ru.nl/handle/2066/253561
https://repository.ubn.ru.nl/handle/2066/253561
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