Search for optimum labeling schemes in qubit systems for Quantum Information processing by NMR

Optimal labeling schemes lead to efficient experimental protocols for quantum information processing by nuclear magnetic resonance (NMR). A systematic approach of finding optimal labeling schemes for a given computation is described here. The scheme is described for both quadrupolar systems and spin-1/2 systems. Finally, one of the optimal labeling scheme has been used to experimentally implement a quantum full-adder in a 4-qubit system by NMR, using the technique of transition selective pulses.Comment: 24 pages, 6 figure

Efficient and exact quantum compression

www.elsevier.com/locate/ic We present a divide and conquer based algorithm for optimal quantum compression/decompression, using O(n(log 4 n) log log n) elementary quantum operations. Our result provides the first quasi-linear time algorithm for asymptotically optimal (in size and fidelity) quantum compression and decompression. We also outline the quantum gate array model to bring about this compression in a quantum computer. Our method uses various classical algorithmic tools to significantly improve the bound from the previous best known bound of O(n 3) for this operation. © 2007 Elsevier Inc. All rights reserved

Abstract Efficient and Exact Quantum Compression

We present a divide and conquer based algorithm for optimal quantum compression / decompression, using O(n(log 4 n) log log n) elementary quantum operations. Our result provides the first quasi-linear time algorithm for asymptotically optimal (in size and fidelity) quantum compression and decompression. We also outline the quantum gate array model to bring about this compression in a quantum computer. Our method uses various classical algorithmic tools to significantly improve the bound from the previous best known bound of O(n 3)(R. Cleve, D. P. DiVincenzo, Schumacher’s quantum data compression as a quantum computation, Phys. Rev. A, 54, 1996, 2636-2650) for this operation

Search for optimum labeling schemes in qubit systems for quantum-information processing by nuclear magnetic resonance

Optimal labeling schemes lead to efficient experimental protocols for quantum-information processing by nuclear magnetic resonance (NMR). A systematic approach to finding optimal labeling schemes for a given computation is described here. The scheme is described for both quadrupolar systems and spin- ½ systems. Using the technique of transition selective pulses, one of the optimal labeling schemes has been applied to experimentally implement a quantum full adder in a four-qubit system by NMR