Geometric phase that manifests itself in number of optic and nuclear experiments is shown to be a useful tool for realization of quantum computations in so called holonomic quantum computer model (HQCM). This model is considered as an externally driven quantum system with adiabatic evolution law and finite number of the energy levels. The corresponding evolution operators represent quantum gate...

We address the problem of constructing quantum circuits to implement an arbitrary two-qubit quantum computation. We pursue circuits without ancilla qubits and as small a number of elementary quantum gates as possible. Our lower bound for worst-case optimal two-qubit circuits calls for at least 17 gates: 15 one-qubit rotations and 2 controlled-NOT ~CNOT! gates. We also constructively prove a wor...

hydraulic simulation of water flow in irrigation canals may reveal management shortcomings and help managers find solutions to them. hydraulic simulation models can be appropriate tools for understanding hydraulic behavior of irrigation systems. in the present study, the steady state hec-ras model was tested and compared with the mike 11 unsteady state model. a secondary irrigation canal in the...

introduction: the aim of this study was to compare the effect of post space preparation with gates glidden drills or hand files on the sealing ability of gutta-percha or resilon obturation materials. materials and methods: one-hundred and four single-rooted human teeth were instrumented and divided into four experimental groups (n=21 each) and two groups of positive and negative control (n=10)....

We construct the exchange gate with small elementary gates on the space of qudits, which consist of three controlled shift gates and three ”reverse” gates. This is a natural extension of the qubit case. We also consider a similar subject on the Fock space, but in this case it is not clear what elementary gates are. We present some related problems.

We construct the exchange gate with small elementary gates on the space of qudits, which consist of three controlled shift gates and three ”reverse” gates. This is a natural extension of the qubit case. We also consider a similar subject on the Fock space, but in this case it is not clear what elementary gates are. We present some related problems.

Three-input TOFFOLI gates are heavily used when performing classical logic operations on quantum data, e.g., in reversible arithmetic circuits. However, in physical implementations TOFFOLI gates are decomposed into six CNOT gates and several one-qubit gates. Though this decomposition has been known for at least 10 years, we provide here the first demonstration of its CNOT-optimality. We first p...

We show that a set of gates that consists of all one-bit quantum gates (U(2)) and the two-bit exclusive-or gate (that maps Boolean values (x, y) to (x, x⊕y)) is universal in the sense that all unitary operations on arbitrarily many bits n (U(2n)) can be expressed as compositions of these gates. We investigate the number of the above gates required to implement other gates, such as generalized D...

The intrinsic idea of superdense coding is to find as many gates as possible such that they can be perfectly discriminated. In this paper, we consider a new scheme of discrimination of quantum gates, called ancillaassisted discrimination, in which a set of quantum gates on a d−dimensional system are perfectly discriminated with assistance from an r−dimensional ancilla system. The main contribut...

Clustered voltage scaling is a power reducing method which does not affect the overall system performance. The main idea is to run gates on a non-critical path by a low-voltage supply. Since low-voltage gates are not able to drive high-voltage gates, level-converters are needed. In order to reduce the number of level-converters, which may cancel out the power savings, they are arranged in a clu...