106 citations · 301 across the 10 of their papers we have counts for
3 papers · 1 filter
Entanglement, avoided crossings and quantum chaos in an Ising model with a tilted magnetic field
J. Karthik, Auditya Sharma, Arul Lakshminarayan
We study a one-dimensional Ising model with a magnetic field and show that tilting the field induces a transition to quantum chaos. We explore the stationary states of this Hamilto…
Quantum chaos in the spectrum of operators used in Shor's algorithm
Krishnendu Maity, Arul Lakshminarayan
We provide compelling evidence for the presence of quantum chaos in the unitary part of Shor's factoring algorithm. In particular we analyze the spectrum of this part after proper…
Using the Hadamard and related transforms for simplifying the spectrum of the quantum baker's map
Arul Lakshminarayan, N. Meenakshisundaram
We rationalize the somewhat surprising efficacy of the Hadamard transform in simplifying the eigenstates of the quantum baker's map, a paradigmatic model of quantum chaos. This all…