Zobrazeno 1 - 10
of 28
pro vyhledávání: '"David W. Lyons"'
Autor:
Paul Appel, Alexander J. Heilman, Ezekiel W. Wertz, David W. Lyons, Marcus Huber, Matej Pivoluska, Giuseppe Vitagliano
Publikováno v:
Quantum, Vol 6, p 708 (2022)
We introduce finite-function-encoding (FFE) states which encode arbitrary $d$-valued logic functions, i.e., multivariate functions over the ring of integers modulo $d$, and investigate some of their structural properties. We also point out some diffe
Externí odkaz:
https://doaj.org/article/09c2ea7fc9374fee9c57ecd0dbb1ea46
Publikováno v:
Advances in Mathematical Physics, Vol 2012 (2012)
We present applications of the representation theory of Lie groups to the analysis of structure and local unitary classification of Werner states, sometimes called the decoherence-free states, which are states of n quantum bits left unchanged by loca
Externí odkaz:
https://doaj.org/article/04f036adae464404bbe4586d10221c7f
We present two results on multiqubit Werner states, defined to be those states that are invariant under the collective action of any given single-qubit unitary that acts simultaneously on all the qubits. Motivated by the desire to characterize entang
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bc9ee7730bba0fd1cba13867e554a69d
http://arxiv.org/abs/2302.05572
http://arxiv.org/abs/2302.05572
Autor:
David W. Lyons
The Hopf fibration is an important object in mathematics and physics. A landmark discovery in topology and a fundamental object in the theory of Lie groups, the Hopf fibration has a wide variety of physical applications including magnetic monopoles,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::508d3a369ddf31321f197673f5779e5d
The study of entanglement properties of multi-qubit states that are invariant under permutations of qubits is motivated by potential applications in quantum computing, quantum communication, and quantum metrology. In this work, we generalize the noti
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::53ff9121eb75cae874037846fc39fc67
Autor:
Paul Appel, Alexander J. Heilman, Ezekiel W. Wertz, David W. Lyons, Marcus Huber, Matej Pivoluska, Giuseppe Vitagliano
We introduce finite-function-encoding (FFE) states which encode arbitrary $d$-valued logic functions, i.e., multivariate functions over the ring of integers modulo $d$, and investigate some of their structural properties. We also point out some diffe
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::533b9490bf52a68d61eccb826034fb07
http://arxiv.org/abs/2012.00490
http://arxiv.org/abs/2012.00490
Autor:
David W. Lyons
Publikováno v:
PRIMUS. 27:508-516
Quantum Information Science (QIS) is an interdisciplinary field involving mathematics, computer science, and physics. Appealing aspects include an abundance of accessible open problems, active interest and support from government and industry, and an
Autor:
Ezekiel W. Wertz, Daniel J. Upchurch, David W. Lyons, Scott N. Walck, Nathaniel P. Gibbons, Mark A. Peters
Hypergraph states of many quantum bits share the rich interplay between simple combinatorial description and nontrivial entanglement properties enjoyed by the graph states that they generalize. In this paper, we consider hypergraph states that are al
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f4ad1e0b6ad0d0c0bb250961f44d8518
Hypergraph states are multiqubit states whose combinatorial description and entanglement properties generalize the well-studied class of graph states. Graph states are important in applications such as measurement-based quantum computation and quantu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::74420d2ee7648f9d2c7b4b0a56eecb43
Publikováno v:
Theory of Quantum Computation, Communication, and Cryptography ISBN: 9783642544286
TQC
TQC
We refine recent local unitary entanglement classification for symmetric pure states of $$n$$ n qubits (that is, states invariant under permutations of qubits) using local unitary stabilizer subgroups and Majorana configurations.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d014627631991eb8693e7aa0a6273a44
https://doi.org/10.1007/978-3-642-54429-3_14
https://doi.org/10.1007/978-3-642-54429-3_14