メーリングリストの皆様
東京大学生産技術研究所の李と申します。
羽田野研究室では、下記の通りセミナーを開催致します。
皆様の奮ってのご参加をお待ちしております。
なお、当研究室におけるセミナー情報は、次のリンクよりご覧頂けます。
hatano-lab.iis.u-tokyo.ac.jp/seminar-j.html
当セミナーは原則として現地会場での開催となりますが、オンライン参加をご希望の方はご連絡下さい。
*本案内は複数のメーリングリストにお送りしております。重複して受け取られました方は何卒ご容赦下さい。
Dear All,
This is Jaeha Lee from the Institute of Industrial Science, the University of Tokyo.
We are pleased to announce an upcoming seminar as follows.
Information regarding our seminar series is available on our web site.
hatano-lab.iis.u-tokyo.ac.jp/seminar-e.html
Those who are interested are welcome to join us on-site. For those who wish to join us online, please feel free to contact us.
* Apologies if you have received multiple copies of this announcement.
記
日時:2026年06月24日(水)14時00分〜 / Wednesday, 24th June 2026, 14:00 JST –
場所:東京大学生産技術研究所 研究実験棟I三階大会議室(The Large Conference Room, Research and Testing Complex I, IIS, the University of Tokyo)
来場:http://hatano-lab.iis.u-tokyo.ac.jp/access-j.html / hatano-lab.iis.u-tokyo.ac.jp/access-e.html
講師:矢田季寛(Yada Toshihiro)さん(理研 / RIKEN)
演題:Non-Haar Random Circuits Form Unitary Designs as Fast as Haar Random Circuits
要旨:
Random quantum circuits have been extensively studied as a powerful tool for various quantum information processing tasks, and also as tractable models of nonequilibrium dynamics in quantum many-body systems. A central question in this context is how fast such circuits achieve global randomness, formalized as a unitary t-design. While the t-design formation rate of Haar random circuits has been extensively studied in previous works [1,2], it remains an open question how such rates are affected by the choice of local randomizers.
In this work, we prove that the circuit depth required for general non-Haar random circuits to form unitary designs is upper bounded by that for the corresponding Haar random circuits, up to a constant factor independent of the system size [3]. This result holds for a broad range of circuit architectures, including one- and higher-dimensional lattices, geometrically nonlocal configurations, and even extremely shallow circuits with patchwork architectures. We also present applications of our results to randomized benchmarking and random circuit sampling, and discuss their implications for quantum many-body physics. Our work lays the foundation for flexible and robust randomness generation in real-world experiments and offers new insights into chaotic dynamics in complex quantum systems.
[1] F. G. S. L. Brandão, A. W. Harrow, and M. Horodecki, Local random quantum circuits are approximate polynomial-designs, Commun. Math. Phys. 346, 397 (2016).
[2] T. Schuster, J. Haferkamp, and H.-Y. Huang, Random unitaries in extremely low depth, Science 389, 92 (2025).
[3] T. Yada, R. Suzuki, Y. Mitsuhashi, and N. Yoshioka, Non-Haar random circuits form unitary designs as fast as Haar random circuits, Phys. Rev. Lett. 136, 030401 (2026).
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李 宰河
〒277-8574 千葉県柏市柏の葉5-1-5
東京大学生産技術研究所
電 話:04-7136-6962
メール:lee@iis.u-tokyo.ac.jp
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