Zobrazeno 1 - 10
of 134
pro vyhledávání: '"Nakata, Yoshifumi"'
We study unitary and state $t$-designs from a computational complexity theory perspective. First, we address the problems of computing frame potentials that characterize (approximate) $t$-designs. We provide a quantum algorithm for computing the fram
Externí odkaz:
http://arxiv.org/abs/2410.23353
Autor:
Utsumi, Takeru, Nakata, Yoshifumi
Recovering quantum information from a noisy quantum system is one of the central challenges in quantum information science. The key to this goal is explicitly constructing a decoder. In this paper, we provide two explicit decoding quantum circuits th
Externí odkaz:
http://arxiv.org/abs/2405.06051
Autor:
Nakata, Yoshifumi, Tezuka, Masaki
Publikováno v:
Phys. Rev. Research 6, L022021 (2024)
Information scrambling refers to the unitary dynamics that quickly spreads and encodes localized quantum information over an entire many-body system and makes the information accessible from any small subsystem. While information scrambling is the ke
Externí odkaz:
http://arxiv.org/abs/2303.02010
Publikováno v:
Phys. Rev. Research 6, 023055 (2024)
Recent work [M. J. Gullans et al., Physical Review X, 11(3):031066 (2021)] has shown that quantum error correcting codes defined by random Clifford encoding circuits can achieve a non-zero encoding rate in correcting errors even if the random circuit
Externí odkaz:
http://arxiv.org/abs/2212.05071
Among various classes of quantum error correcting codes (QECCs), non-stabilizer codes have rich properties and are of theoretical and practical interest. Decoding non-stabilizer codes is, however, a highly non-trivial task. In this paper, we show tha
Externí odkaz:
http://arxiv.org/abs/2210.06661
Random dynamics in isolated quantum systems is of practical use in quantum information and is of theoretical interest in fundamental physics. Despite a large number of theoretical studies, it has not been addressed how random dynamics can be verified
Externí odkaz:
http://arxiv.org/abs/2205.14667
Autor:
Nakata, Yoshifumi, Zhao, Da, Okuda, Takayuki, Bannai, Eiichi, Suzuki, Yasunari, Tamiya, Shiro, Heya, Kentaro, Yan, Zhiguang, Zuo, Kun, Tamate, Shuhei, Tabuchi, Yutaka, Nakamura, Yasunobu
Publikováno v:
PRX Quantum 2, 030339 (2021)
A unitary $t$-design is a powerful tool in quantum information science and fundamental physics. Despite its usefulness, only approximate implementations were known for general $t$. In this paper, we provide for the first time quantum circuits that ge
Externí odkaz:
http://arxiv.org/abs/2102.12617
Publikováno v:
Phys. Rev. A 104, 012408 (2021)
Quantum error correction (QEC) is one of the central concepts in quantum information science and also has wide applications in fundamental physics. The capacity theorems provide solid foundations of QEC. We here provide a general and highly applicabl
Externí odkaz:
http://arxiv.org/abs/2011.00668
The purpose of this paper is to give explicit constructions of unitary $t$-designs in the unitary group $U(d)$ for all $t$ and $d$. It seems that the explicit constructions were so far known only for very special cases. Here explicit construction mea
Externí odkaz:
http://arxiv.org/abs/2009.11170
Publikováno v:
Quantum 7, 928 (2023)
The Hayden-Preskill protocol is a qubit-toy model of the black hole information paradox. Based on the assumption of scrambling, it was revealed that quantum information is instantly leaked out from the quantum many-body system that models a black hol
Externí odkaz:
http://arxiv.org/abs/2007.00895