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检索条件"机构=Institute for Quantum Computing and Combinatorics & Optimization"
214 条 记 录,以下是1-10 订阅
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quantum Complexity of the Kronecker Coefficients
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PRX quantum 2024年 第1期5卷 010329-010329页
作者: Sergey Bravyi Anirban Chowdhury David Gosset Vojtěch Havlíček Guanyu Zhu IBM Quantum IBM T.J. Watson Research Center Department of Combinatorics and Optimization University of Waterloo Institute for Quantum Computing University of Waterloo Perimeter Institute for Theoretical Physics Waterloo
Whether or not the Kronecker coefficients of the symmetric group count some set of combinatorial objects is a longstanding open question. In this work we show that a given Kronecker coefficient is proportional to the ... 详细信息
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Qudit quantum Programming with Projective Cliffords
arXiv
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arXiv 2024年
作者: Paykin, Jennifer Winnick, Sam Intel Labs Intel Corporation United States Institute for Quantum Computing Department of Combinatorics & Optimization University of Waterloo Canada
This paper introduces a novel abstraction for programming quantum operations, specifically projective Cliffords, as functions over the qudit Pauli group. We define a categorical semantics for projective Cliffords base... 详细信息
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Condensed Encodings of Projective Clifford Operations in Arbitrary Dimension
arXiv
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arXiv 2024年
作者: Winnick, Sam Paykin, Jennifer Institute for Quantum Computing Department of Combinatorics & Optimization University of Waterloo Canada Intel Labs Intel Corporation United States
We provide a careful analysis of the structure theorem for the n-qudit projective Clifford group and various encoding schemes for its elements. In particular, we derive formulas for evaluation, composition, and invers... 详细信息
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quantum State Preparation with Optimal T-Count
arXiv
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arXiv 2024年
作者: Gosset, David Kothari, Robin Wu, Kewen Google Quantum AI United States Department of Combinatorics and Optimization Institute for Quantum Computing University of Waterloo Canada Perimeter Institute for Theoretical Physics Canada University of California Berkeley United States
How many T gates are needed to approximate an arbitrary n-qubit quantum state to within error Ε? Improving prior work of Low, Kliuchnikov, and Schaeffer, we show that the optimal asymptotic scaling is Θ (Formula Pre... 详细信息
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On the Space of Coefficients of a Feedforward Neural Network
On the Space of Coefficients of a Feedforward Neural Network
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International Joint Conference on Neural Networks (IJCNN)
作者: Dinesh Valluri Rory Campbell Department of Combinatorics and Optimization Institute for Quantum Computing University of Waterloo Waterloo Canada Department of Computer Science Western University London Canada
We establish the conditions for ‘equivalent neural networks’ - neural networks with different weights, biases, and threshold functions which result in the same associated function. We prove that given a neural netwo...
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AN OPERATOR-ALGEBRAIC FORMULATION OF SELF-TESTING
arXiv
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arXiv 2023年
作者: Paddock, Connor Slofstra, William Zhao, Yuming Zhou, Yangchen Institute for Quantum Computing University of Waterloo Canada Department of Combinatorics & Optimization University of Waterloo Canada Department of Pure Mathematics University of Waterloo Canada
We give a new definition of self-testing for correlations in terms of states on C∗-algebras. We show that this definition is equivalent to the standard definition for any class of finite-dimensional quantum models whi... 详细信息
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Rate-Distortion Theory for Mixed States
Rate-Distortion Theory for Mixed States
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2023 IEEE International Symposium on Information Theory, ISIT 2023
作者: Khanian, Zahra Baghali Kuroiwa, Kohdai Leung, Debbie Technical University of Munich Munich Center for Quantum Science and Technology Zentrum Mathematik Garching85748 Germany Institute for Quantum Computing University of Waterloo ONN2L 3G1 Canada University of Waterloo Department of Combinatorics and Optimization Canada Perimeter Institute for Theoretical Physics ONN2L 2Y5 Canada
In this paper we consider the compression of asymptotically many i.i.d. copies of ensembles of mixed quantum states where the encoder has access to a side information system. This source is equivalently defined as a c... 详细信息
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On the Power of quantum Distributed Proofs
arXiv
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arXiv 2024年
作者: Hasegawa, Atsuya Kundu, Srijita Nishimura, Harumichi Graduate School of Information Science and Technology The University of Tokyo Japan Institute for Quantum Computing Department of Combinatorics and Optimization University of Waterloo Canada Graduate School of Informatics Nagoya University Japan
quantum nondeterministic distributed computing was recently introduced as dQMA (distributed quantum Merlin-Arthur) protocols by Fraigniaud, Le Gall, Nishimura and Paz (ITCS 2021). In dQMA protocols, with the help of q... 详细信息
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quantum advantage from measurement-induced entanglement in random shallow circuits
arXiv
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arXiv 2024年
作者: Watts, Adam Bene Gosset, David Liu, Yinchen Soleimanifar, Mehdi Department of Pure Mathematics University of Waterloo Canada Institute for Quantum Computing University of Waterloo Canada Department of Combinatorics and Optimization University of Waterloo Canada Perimeter Institute for Theoretical Physics Waterloo Canada California Institute of Technology United States
We study random constant-depth quantum circuits in a two-dimensional architecture. While these circuits only produce entanglement between nearby qubits on the lattice, long-range entanglement can be generated by measu... 详细信息
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Dynamic Qubit Routing with CNOT Circuit Synthesis for quantum Compilation
arXiv
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arXiv 2022年
作者: de Griend, Arianne Meijer-Van Li, Sarah Meng Department of Computer Science University of Helsinki Finland Department of Combinatorics & Optimization Institute for Quantum Computing University of Waterloo Canada
Many quantum computers have constraints regarding which two-qubit operations are locally allowed. To run a quantum circuit under those constraints, qubits need to be mapped to different quantum registers, and multi-qu... 详细信息
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