Topological quantum computation has emerged as one of the most exciting approaches to
constructing a fault-tolerant quantum computer. The proposal relies on the existence of …

Fifty years of developments in nuclear magnetic resonance (NMR) have resulted in an
unrivaled degree of control of the dynamics of coupled two-level quantum systems. This …

Quantum information processing is steadily progressing from a purely academic discipline
towards applications throughout science and industry. Transitioning from lab-based, proof-of …

In order to demonstrate nontrivial quantum computations experimentally, such as the
synthesis of arbitrary entangled states, it will be useful to understand how to decompose a …

We develop a non-adiabatic generalization of holonomic quantum computation in which
high-speed universal quantum gates can be realized using non-Abelian geometric phases …

What is the minimal size quantum circuit required to exactly implement a specified n-qubit
unitary operation, U, without the use of ancilla qubits? We show that a lower bound on the …

Quantum theory (QT) is usually formulated in terms of abstract mathematical postulates
involving Hilbert spaces, state vectors and unitary operators. In this paper, we show that the …

Quantum gates and entanglement based on dipole–dipole interactions of neutral Rydberg
atoms are relevant to both fundamental physics and quantum information science. The …

We consider quantum circuits made of controlled-NOT (CNOT) gates and single-qubit
unitary gates and look for constructions that minimize the use of CNOT gates. We show, by …

Modern biological science is trying to solve the fundamental complex problems of molecular
biology, which include protein folding, drug discovery, simulation of macromolecular …