Results 11 to 20 of about 9,097,410 (138)

Two-Unitary Decomposition Algorithm and Open Quantum System Simulation [PDF]

Quantum 7, 1002 (2023), 2022
Simulating general quantum processes that describe realistic interactions of quantum systems following a non-unitary evolution is challenging for conventional quantum computers that directly implement unitary gates. We analyze complexities for promising methods such as the Sz.-Nagy dilation and linear combination of unitaries that can simulate open ...
arxiv   +1 more source

Quantum advantage of unitary Clifford circuits with magic state inputs [PDF]

Proceedings of the Royal Society A, 2018
We study the computational power of unitary Clifford circuits with solely magic state inputs (CM circuits), supplemented by classical efficient computation.
Mithuna Yoganathan, R. Jozsa, Sergii Strelchuk   +2 more
semanticscholar   +1 more source

Lower bound for the T count via unitary stabilizer nullity [PDF]

Physical Review Applied 19 (3), 034052, 2023, 2021
We introduce magic measures to quantify the nonstabilizerness of multiqubit quantum gates and establish lower bounds on the $T$ count for fault-tolerant quantum computation. First, we introduce the stabilizer nullity of multi-qubit unitary, which is based on the subgroup of the quotient Pauli group associated with the unitary.
arxiv   +1 more source

Subnational mobilization and the reconfiguration of central-local relations in the shadow of Europe: the case of the Dutch decentralized unitary state

Regional & Federal Studies, 2018
The Netherlands is traditionally considered a decentralized unitary state. Recent decentralization of responsibilities from the national to the local level and scaling-up of authority from the local to the city-regional level, accompanied by continuing ...
M. Groenleer, F. Hendriks
semanticscholar   +1 more source

Delocalization power of global unitary operations on quantum information [PDF]

New J. Phys. 12 (2010) 093013, 2010
We investigate how originally localized two pieces of quantum information represented by a tensor product of two unknown qudit states are delocalized by performing two-qudit global unitary operations. To characterize the delocalization power of global unitary operations on quantum information, we analyze the necessary and sufficient condition to ...
arxiv   +1 more source

Local unitary equivalence of generic multi-qubits based on the CP decomposition [PDF]

Int. J. Theo. Phys. (2022), 61:137, (20pp), 2022
The CANDECOMP/PARAFAC (CP) decomposition is a generalization of the spectral decomposition of matrices to higher-order tensors. In this paper we use the CP decomposition to study unitary equivalence of higher order tensors and construct several invariants of local unitary equivalence for general higher order tensors.
arxiv   +1 more source

The Case for Effective Environmental Politics: Federalist or Unitary State? Comparing the Cases of Canada, the United States of America, and the People’s Republic of China

Michigan Journal of Law Reform, 2018
Federalism, by its nature, is a segmented system of governance. The Canadian and American constitutional orders are divided along very clear lines of jurisdictional authority between levels of government.
Justin Fisch
semanticscholar   +1 more source

All unitaries having operator Schmidt rank 2 are controlled unitaries [PDF]

Physical Review A 87, 022329 (2013), 2012
We prove that every unitary acting on any multipartite system and having operator Schmidt rank equal to 2 can be diagonalized by local unitaries. This then implies that every such multipartite unitary is locally equivalent to a controlled unitary with every party but one controlling a set of unitaries on the last party. We also prove that any bipartite
arxiv   +1 more source

Special Autonomy of Papua: A Review from the Perspective of the Unitary State of the Republic of Indonesia

Papua Law Journal, 2016
The authority of governance in Papua Province through Act No. 21 of 2001 is very large, as stipulated in Article 4 paragraph (1), which covering all fields of government, except with regard to foreign affairs, defense and security, monetary and fiscal ...
Lily Bauw
semanticscholar   +1 more source

Local Unitary Invariants of Generic Multi-qubit States [PDF]

Phys. Rev. A 92, No. 2, 022306 (2015), 2015
We present a complete set of local unitary invariants for generic multi-qubit systems which gives necessary and sufficient conditions for two states being local unitary equivalent. These invariants are canonical polynomial functions in terms of the generalized Bloch representation of the quantum states. In particular, we prove that there are at most 12
arxiv   +1 more source