Exact simulation of multi-qubit dynamics with only three qubits

Driven Nonlinear Dynamics of Two Coupled Exchange-Only Qubits

Exact synthesis of multi-qubit Clifford+T circuits

We prove that a unitary matrix has an exact representation over the Clifford+T gate set with local ancillas if and only if its entries are in the ring Z[ 1 √ 2 , i]. Moreover, we show that one ancilla always suffices. These facts were conjectured by Kliuchnikov, Maslov, and Mosca. We obtain an algorithm for synthesizing a exact Clifford+T circuit from any such n-qubit operator. We also characte...

Multi-Qubit Dynamics Quantum Search Algorithm

Following the experimental work [M. W. Johnson, et al. Nature 473, 194 (2011)], we propose a new physical scheme for perfect implementation of quantum search algorithm in presence of the dissipation of qubits. Applying all the required steps for implementing the algorithm, the quantum gates are generated from the suggested model. During a critical portion of quantum annealing, the qubits become...

Two-qubit gates for resonant exchange qubits.

A new approach to single-qubit operations using exchange interactions of single electrons in gate-defined quantum dots has recently been demonstrated: the resonant exchange qubit. We show that two-qubit operations, specifically the controlled phase gate, can be performed between resonant exchange qubits very straightforwardly, using a single exchange pulse. This is in marked contrast to the bes...

Quantum information processing and multi-qubit entanglement with Josephson-junction charge qubits in a thermal cavity

We propose a scheme to implement the two-qubit quantum phase gate with Josephson-junction charge qubits in a thermal cavity. In this scheme, the photonnumber-dependent parts in the time evolution operator are canceled at the special time. Thus the scheme is insensitive to the thermal field. We also demonstrate that the scheme can be used to generate maximally entangled state of many Josephson-j...