Zobrazeno 1 - 10
of 220
pro vyhledávání: '"Lakshminarayan, Arul"'
When subject to a non-local unitary evolution, qubits in a quantum circuit become increasingly entangled. Conversely, measurements applied to individual qubits lead to their disentanglement from the collective system. The extent of entanglement reduc
Externí odkaz:
http://arxiv.org/abs/2407.17776
Quantum channels describe subsystem or open system evolution. Using the classical Koopman operator that evolves functions on phase space, 4 classical Koopman channels are identified that are analogs of the 4 possible quantum channels in a bipartite s
Externí odkaz:
http://arxiv.org/abs/2407.14067
The effects of disorder and chaos on quantum many-body systems can be superficially similar, yet their interplay has not been sufficiently explored. This work finds a continuous phase transition when disorder breaks permutation symmetry, with details
Externí odkaz:
http://arxiv.org/abs/2406.00521
Autor:
Lakshminarayan, Arul
Dual-unitary circuits are being vigorously studied as models of many-body quantum chaos that can be solved exactly for correlation functions and time evolution of states. Here we define their classical counterparts as dual-canonical transformations a
Externí odkaz:
http://arxiv.org/abs/2307.04950
Publikováno v:
Phys. Rev. E 109, 014209 (2024)
Non-KAM (Kolmogorov-Arnold-Moser) systems, when perturbed by weak time-dependent fields, offer a fast route to classical chaos through an abrupt breaking of invariant phase space tori. In this work, we employ out-of-time-order correlators (OTOCs) to
Externí odkaz:
http://arxiv.org/abs/2306.04209
Publikováno v:
Phys. Rev. A 108, 032412 (2023)
Ordering and classifying multipartite quantum states by their entanglement content remains an open problem. One class of highly entangled states, useful in quantum information protocols, the absolutely maximally entangled (AME) ones, are specially ha
Externí odkaz:
http://arxiv.org/abs/2212.06737
Publikováno v:
Phys. Rev. A 109, 022610 (2024)
TThe problem of finding the resource free, closest local unitary, to any bipartite unitary gate $U$ is addressed. Previously discussed as a measure of nonlocality, the distance $K_D(U)$ to the nearest product unitary has implications for circuit comp
Externí odkaz:
http://arxiv.org/abs/2210.13307
Publikováno v:
PRX Quantum 3, 040331 (2022)
While quantum circuits built from two-particle dual-unitary (maximally entangled) operators serve as minimal models of typically nonintegrable many-body systems, the construction and characterization of dual-unitary operators themselves are only part
Externí odkaz:
http://arxiv.org/abs/2205.08842
Autor:
Pulikkottil, Jethin J., Lakshminarayan, Arul, Srivastava, Shashi C. L., Kieler, Maximilian F. I., Bäcker, Arnd, Tomsovic, Steven
Publikováno v:
Phys. Rev. E 107, 024124 (2023)
A bipartite system whose subsystems are fully quantum chaotic and coupled by a perturbative interaction with a tunable strength is a paradigmatic model for investigating how isolated quantum systems relax towards an equilibrium. It is found that quan
Externí odkaz:
http://arxiv.org/abs/2204.07561
Autor:
Życzkowski, Karol, Bruzda, Wojciech, Rajchel-Mieldzioć, Grzegorz, Burchardt, Adam, Rather, Suhail Ahmad, Lakshminarayan, Arul
The famous combinatorial problem of Euler concerns an arrangement of $36$ officers from six different regiments in a $6 \times 6$ square array. Each regiment consists of six officers each belonging to one of six ranks. The problem, originating from S
Externí odkaz:
http://arxiv.org/abs/2204.06800