Quantum isomer search

Search for Quantum Gravity

A satisfactory theory of quantum gravity may necessitate a drastic modification of our perception of space-time, by giving it a foamy structure at distances comparable to the Planck length. It is argued in this essay that the experimental detection of such structures may be a realistic possibility in the foreseeable future. After a brief review of different theoretical approaches to quantum gra...

Quantum search with resonances

We present a continuous time quantum search algorithm analogous to Grover’s one; in particular, the optimal search time of this algorithm is proportional to √ N . The search algorithm can be implemented using any Hamiltonian with discrete energy spectrum through excitation of resonances between the initial and the searched state. This algorithm is robust and, as in the case of Grover’s, it allo...

Search via Quantum Walk

Quantum search by measurement

We propose a quantum algorithm for solving combinatorial search problems that uses only a sequence of measurements. The algorithm is similar to quantum computation by adiabatic evolution, in that the goal is to remain in the ground state of a time-varying Hamiltonian. Indeed, we show that the running times of the two algorithms are closely related. We also show how to achieve the quadratic spee...

Generalized Quantum Search Hamiltonian

There are hamiltonians that solve a search problem of finding one of N items in O( √ N) steps. They are hamiltonians to describe an oscillation between two states. In this paper we propose a generalized search hamiltonian, Hg. Then the known search hamiltonians become special cases of Hg. From the generalized search hamiltonian, we present remarkable results that searching with 100% is subject ...