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pro vyhledávání: '"Castillo, Santiago Londoño"'
Autor:
Mansky, Maximilian Balthasar, Martinez, Miguel Armayor, de la Serna, Alejandro Bravo, Castillo, Santiago Londoño, Nikoladou, Dimitra, Sathish, Gautham, Wang, Zhihao, Wölckert, Sebastian, Linnhoff-Popien, Claudia
The intrinsic symmetries of physical systems have been employed to reduce the number of degrees of freedom of systems, thereby simplifying computations. In this work, we investigate the properties of $\mathcal{M}SU(2^N)$, $\mathcal{M}$-invariant subs
Externí odkaz:
http://arxiv.org/abs/2406.09962
Autor:
Mansky, Maximilian Balthasar, Castillo, Santiago Londoño, Armayor-Martínez, Miguel, de la Serna, Alejandro Bravo, Sathish, Gautham, Wang, Zhihao, Wölckerlt, Sebastian, Linnhoff-Popien, Claudia
We show that quantum circuits restricted by a symmetry inherit the properties of the whole special unitary group $SU(2^n)$, in particular composition, algebraic and topological closedness and connectedness. It extends prior work on symmetric states t
Externí odkaz:
http://arxiv.org/abs/2402.16329
Autor:
Mansky, Maximilian Balthasar, Castillo, Santiago Londoño, Puigvert, Victor Ramos, Linnhoff-Popien, Claudia
The implementation of physical symmetries into problem descriptions allows for the reduction of parameters and computational complexity. We show the integration of the permutation symmetry as the most restrictive discrete symmetry into quantum circui
Externí odkaz:
http://arxiv.org/abs/2312.14909
Autor:
Mansky, Maximilian Balthasar, Puigvert, Victor Ramos, Castillo, Santiago Londoño, Linnhoff-Popien, Claudia
We review the staircase algorithm to decompose the exponential of a generalized Pauli matrix and we propose two alternative recursive methods which offer more efficient quantum circuits. The first algorithm we propose, defined as the inverted stairca
Externí odkaz:
http://arxiv.org/abs/2305.04807
Autor:
Mansky, Maximilian Balthasar, Castillo, Santiago Londoño, Puigvert, Victor Ramos, Linnhoff-Popien, Claudia
Publikováno v:
Physical Review A 108, 052607 (2023)
We show the applicability of the Cartan decomposition of Lie algebras to quantum circuits. This approach can be used to synthesize circuits that can efficiently implement any desired unitary operation. Our method finds explicit quantum circuit repres
Externí odkaz:
http://arxiv.org/abs/2212.12934
Akademický článek
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Autor:
Mansky, Maximilian Balthasar, Castillo, Santiago Londoño, Puigvert, Victor Ramos, Linnhoff-Popien, Claudia
We show the applicability of the Cartan decomposition of Lie algebras to Quantum Circuits. This approach can be used to synthesize circuits that can efficiently reach any desired unitary operation. Our method finds explicit quantum circuit representa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1af68072bbddfb2dbb9d05419abb52cf
http://arxiv.org/abs/2212.12934
http://arxiv.org/abs/2212.12934