Quantum adiabatic algorithm is a method of solving computational problems by evolving the ground state of a slowly varying Hamiltonian. The technique uses evolution of the ground state of a slowly varying Hamiltonian to reach the required output state. In some cases, such as the adiabatic versions of Grover's search algorithm and Deutsch-Jozsa algorithm, applying the global adiabatic evolution ...

For a T -periodic non-Hermitian Hamiltonian H(t), we construct a class of adiabatic cyclic states of period T which are not eigenstates of the initial Hamiltonian H(0). We show that the corresponding adiabatic geometric phase angles are real and discuss their relationship with the conventional complex adiabatic geometric phase angles. We present a detailed calculation of the new adiabatic cycli...

Adiabatic passage employs a slowly varying time-dependent Hamiltonian to control the evolution of quantum system along eigenstates. For processes finite duration, exact time evolving state may deviate from adiabatic eigenstate at intermediate times, but in numerous applications it is observed that this deviation reaches maximum and then decreases significantly towards end process. We provide st...

The adiabatic theorem in quantum mechanics can be understood as an eeect of phase space tunneling 12]. This allows us to use micro-local methods from the theory of pseudo diierential operators to proof an adiabatic theorem where the Hamiltonian (as a function of time) belongs to some Gevrey class. These classes are of interest since they can be used to model a compactly supported and smooth swi...

In recent years the adiabatic techniques have been used to reduce power consumption in various high end processors. Various adiabatic logic circuits have been proposed based on the energy recovery principle. The term “adiabatic” is derived from a reversible thermodynamic process and it stands for a system where a transformation takes place in such a way that no gain or loss of heat or energy oc...

Adiabatic pulses are sometimes considered to be mysterious and exotic entities which are difficult to understand, complex to generate and impractical to implement. This work is an attempt to bring familiarity and to fulfill the preliminary needs of anyone interested in learning more about this subject. The response of magnetization to stimuli produced by adiabatic pulses is analyzed using vecto...

Adiabatic shear banding during high speed machining is important to understand material removal mechanisms. This paper investigates the microstructure of adiabatic shear bands (ASBs) in the serrated chips produced during the high speed machining of AISI 1045 hardened steel. Optical microscope, scanning electronic microscope(SEM) and transmission electronic microscope(TEM) were used to explore t...

In this paper, the authors propose a novel static random access memory (SRAM) that employs the adiabatic logic principle. To reduce energy dissipation, the proposed adiabatic SRAM is driven by two trapezoidal-wave pulses. The cell structure of the proposed SRAM has two high-value resistors based on a p-type metal-oxide semiconductor transistor, a cross-coupled n-type metal-oxide semiconductor (...

In this paper, we describe adiabatic Vedic multiplier using efficient charge recovery logic (ECRL) and energy efficient adiabatic logic (EEAL). In today’s world low power hindrance have become a major important factor in modern VLSI design. Because of the increasingly draconian demands for battery space and weight in portable multimedia devices, energy productive and high yielding circuits are ...