Quantum Computing by Two-Dimensional NMR using Spin- and Transition-Selective Pulses
نویسندگان
چکیده
Quantum computing using two-dimensional NMR has recently been described using scalar coupling evolution technique [J. Chem. Phys., 109, 10603 (1998)]. In the present paper, we describe two-dimensional NMR quantum computing with the help of selective pulses. A number of logic gates are implemented using two and three qubits with one extra observer spin. Some many-in-one gates (or Portmanteau gates) are implemented. Toffoli gate (or AND/NAND gate) and OR/NOR gates are implemented on three qubits. Deutsch-Jozsa quantum algorithm for one and two qubits, using one extra work qubit, has also been implemented using selective pulses after creating a coherent superposition state, in the two-dimensional methodology.
منابع مشابه
Implementing logic gates and the Deutsch-Jozsa quantum algorithm by two-dimensional NMR using spin- and transition-selective pulses.
Quantum logical operations using two-dimensional NMR have recently been described using the scalar coupling evolution technique [J. Chem. Phys. 109, 10603 (1998)]. In the present paper, we describe the implementation of quantum logical operations using two-dimensional NMR, with the help of spin- and transition-selective pulses. A number of logic gates are implemented using two and three qubits ...
متن کاملImplementation of conditional phase-shift gate for quantum information processing by NMR, using transition-selective pulses.
Experimental realization of quantum information processing in the field of nuclear magnetic resonance (NMR) has been well established. Implementation of conditional phase-shift gate has been a significant step, which has lead to realization of important algorithms such as Grover's search algorithm and quantum Fourier transform. This gate has so far been implemented in NMR by using coupling evol...
متن کاملCoherence Transfer via Longitudinal Spin Order Generalized Pulse Pair Filtering for Pure Phase Two-dimensional Nmr Spectroscopy
A generalized pulse pair has been suggested in which the longitudinal spin order is retained and the transverse components cancelled by random variation of the interval between pulses, in successive applications of the two-dimensional NMR algorithm. This method leads to pure phases and has been exploited to provide a simpler scheme for two-spin filtering and for pure phase spectroscopy in multi...
متن کاملدرهمتنیدگی کوانتومی و گذار فاز کوانتومی تحت اتلاف در مدل ناهمسانگرد هایزنبرگ XXZ با برهمکنش ژیالوسینکی - موریا
Because the key issue in quantum information and quantum computing is entanglement, the investigation of the effects of environment, as a source of quantum dissipation, and interaction between environment and system on entanglement and quantum phase transition is important. In this paper, we consider two-qubit system in the anisotropic Heisenberg XXZ model with the Dzyaloshinskii-moriya inter...
متن کاملEnsemble quantum-information processing by NMR: Implementation of gates and the creation of pseudopure states using dipolar coupled spins as qubits
Quantum-information processing is carried out using dipolar coupled spins and high-resolution nuclear magnetic resonance ~NMR!. The systems chosen are the dipolar coupled methyl protons of CH3CN partially oriented in a liquid crystalline matrix yielding a two-qubit system and dipolar coupled C and methyl protons of CH3CN also partially oriented in the liquid crystalline matrix, yielding a three...
متن کامل