Results 31 to 40 of about 9,097,410 (138)

Local unitary equivalence and distinguishability of arbitrary multipartite pure states [PDF]

arXiv, 2010
We give an universal algorithm for testing the local unitary equivalence of states for multipartite system with arbitrary dimensions.
arxiv  

Beyond the Unitary State: Multi-Level Governance, Politics, and Cross-Cultural Perspectives on Animal Welfare. [PDF]

Animals (Basel), 2023
Chaney P, Jones IR, Narayan N.
europepmc   +1 more source

Giving with one hand: Scottish devolution within a unitary state

, 2007
This essay employs Scottish devolution as a prism through which to examine two public policies used to manage national diversity: accommodation and integration.
S. Tierney
semanticscholar   +1 more source

Local unitary equivalence of arbitrary-dimensional multipartite quantum states [PDF]

Physical Review A 109, 022427 (2024)
Local unitary equivalence is an important ingredient for quantifying and classifying entanglement. Verifying whether or not two quantum states are local unitary equivalent is a crucial problem, where only the case of multipartite pure states is solved.
arxiv   +1 more source

Random ensembles of symplectic and unitary states are indistinguishable [PDF]

arXiv
A unitary state $t$-design is an ensemble of pure quantum states whose moments match up to the $t$-th order those of states uniformly sampled from a $d$-dimensional Hilbert space. Typically, unitary state $t$-designs are obtained by evolving some reference pure state with unitaries from an ensemble that forms a design over the unitary group $\mathbb{U}(
arxiv  

Unitary equivalent classes of one-dimensional quantum walks II [PDF]

arXiv, 2017
This study investigated the unitary equivalent classes of one-dimensional quantum walks. We determined the unitary equivalent classes of one-dimensional quantum walks, two-phase quantum walks with one defect, complete two-phase quantum walks, one-dimensional quantum walks with one defect and translation-invariant one-dimensional quantum walks.
arxiv  

Symmetric states: local unitary equivalence via stabilizers [PDF]

Quantum.Inform.Compu. 10, 1029-1041 (2010), 2010
We classify local unitary equivalence classes of symmetric states via a classification of their local unitary stabilizer subgroups. For states whose local unitary stabilizer groups have a positive number of continuous degrees of freedom, the classification is exhaustive. We show that local unitary stabilizer groups with no continuous degrees of freedom
arxiv  

Entangled states are not always useful for single shot distinguishability of unitaries [PDF]

arXiv
There has been many instances where the entangled state as a probe acts better than the single state in the task of distinguishing quantum channels. We provide a proof in the agreement of this motion in the context of single shot distinguishability of two unitaries.
arxiv  

Local unitarty equivalence and entanglement by Bargmann invariants [PDF]

arXiv
The study of quantum states frequently examines the connection between non-local effects in quantum mechanics and quantities that remain unchanged under local unitary transformations. Among these concepts, local unitary equivalence, defined through local unitary transformations, holds significant importance in quantum state classification and resource ...
arxiv  

A quantum Johnson-Lindenstrauss lemma via unitary t-designs [PDF]

arXiv, 2018
The famous Johnson-Lindenstrauss lemma states that for any set of n vectors, there is a linear transformation into a space of dimension O(log n) that approximately preserves all their lengths. In fact, a Haar random unitary transformation followed by projection onto the first O(log n) coordinates followed by a scaling works as a valid transformation ...
arxiv