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Ground state preparation and energy estimation on early fault-tolerant quantum computers via quantum eigenvalue transformation of unitary matrices [PDF]
Under suitable assumptions, the algorithms in [Lin, Tong, Quantum 2020] can estimate the ground state energy and prepare the ground state of a quantum Hamiltonian with near-optimal query complexities.
Yulong Dong, Lin Lin, Yu Tong
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Emergent quantum state designs and biunitarity in dual-unitary circuit dynamics [PDF]
Recent works have investigated the emergence of a new kind of random matrix behaviour in unitary dynamics following a quantum quench. Starting from a time-evolved state, an ensemble of pure states supported on a small subsystem can be generated by ...
P. W. Claeys, A. Lamacraft
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Asymptotically Optimal Circuit Depth for Quantum State Preparation and General Unitary Synthesis [PDF]
The quantum state preparation problem aims to prepare an $n$ -qubit quantum state $|\psi _{v}\rangle =\sum _{k=0}^{2^{n}-1}v_{k}|k\rangle $ from the initial state $|0\rangle ^{\otimes n}$ , for a given unit vector $v=(v_{0},v_{1},v_{2},\ldots,v_{2 ...
Xiaoming Sun+4 more
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THE ROLE OF PARADIPLOMACY AND THE POTENTIAL PROTO-DIPLOMACY IN THE UNITARY STATE
This article aims to explain the study of paradiplomacy in the unitary state. With the case study of Indonesia, the author explains the role of paradiplomacy and the potential of proto-diplomacy in a unitary state like Indonesia.
Laode Muhammad Fathun
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Brexit has foregrounded radical divergences between the accounts of the UK’s constitutional order advanced by the UK Government and the devolved governments, with the distinctions coming into sharp relief in debates over legislation to sustain the UK’s ...
Daniel Wincott, C. Murray, G. Davies
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COVID-19 response in a unitary state: emerging lessons from Vietnam
The global reach of COVID-19 presents opportunities to compare policy responses to the pandemic and the role of knowledge across political contexts. This article examines the case of Vietnam’s COVID-19 response.
K. Hartley, S. Bales, A. Bali
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Unitary Complexity and the Uhlmann Transformation Problem [PDF]
State transformation problems such as compressing quantum information or breaking quantum commitments are fundamental quantum tasks. However, their computational difficulty cannot easily be characterized using traditional complexity theory, which focuses
John Bostanci+5 more
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A One-Query Lower Bound for Unitary Synthesis and Breaking Quantum Cryptography [PDF]
The Unitary Synthesis Problem (Aaronson-Kuperberg 2007) asks whether any n-qubit unitary U can be implemented by an efficient quantum algorithm A augmented with an oracle that computes an arbitrary Boolean function f.
Alex Lombardi, Fermi Ma, John Wright
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The article analyzes the concept of a unitary state, considers decentralization in unitary states, and studies the views of various scientists on the processes of decentralization in unitary states.
Zozulia Ye.V., K. Ya.
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Trading T gates for dirty qubits in state preparation and unitary synthesis [PDF]
Efficient synthesis of arbitrary quantum states and unitaries from a universal fault-tolerant gate-set e.g. Clifford+T is a key subroutine in quantum computation.
G. Low, Vadym Kliuchnikov, L. Schaeffer
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