Quantum annealing with twisted fields

Quantum annealing with antiferromagnetic fluctuations.

We introduce antiferromagnetic quantum fluctuations into quantum annealing in addition to the conventional transverse-field term. We apply this method to the infinite-range ferromagnetic p-spin model, for which the conventional quantum annealing has been shown to have difficulties in finding the ground state efficiently due to a first-order transition. We study the phase diagram of this system ...

Quantum annealing with Jarzynski equality

We show a practical application of an well-known nonequilibrium relation, the Jarzynski equality, in quantum computation. Its implementation may open a way to solve combinatorial optimization problems, minimization of a real single-valued function, cost function, with many arguments. It has been disclosed that the ordinary quantum computational algorithm to solve a kind of hard optimization pro...

Quantum annealing

Quantum annealing Quantum annealing (also known as alloy, crystallization or tempering) is analogous to simulated annealing but in substitution of thermal activation by quantum tunneling. The class of algorithmic methods for quantum annealing (dubbed: 'QA'), sometimes referred by the italian school as Quantum Stochastic Optimization ('QSO'), is a promising metaheuristic tool for solving local s...

Symplectic spreads from twisted fields

A ,yml'/eclic 'l'J"wd of PG(2n + l,q) is a spread of the symplectic polar space ~V(2n + l,q) defined by a nonsingular alternating bilinear form on a (2n+2)dimensional vector space over GF(q), i.e., a set of q"+l + 1 pairwise disjoint maximal totally isotropic subspaces. Note that a symplectic spread of PG(3, q) is equivalent, under the Klein correspondence, to an ovoid of the quadric Q( 4, q). ...

Quantum Twisted Codes