Quantum state expansion

Abstract

It is experimentally demonstrated that an arbitrary quantum state of a single spin 1/2: a|u> + b|d> can be converted into a superposition of the two ferromagnetic states of a spin cluster: a|uu...uu> + b|dd...dd>. The physical system is a cluster of seven dipolar-coupled nuclear spins of single-labeled 13C-benzene molecules in a liquid-crystalline matrix. In this complex system, the pseudopure ground state and the required controlled unitary transformations have been implemented. The experimental scheme can be considered as an explicit model of quantum measurement.

9 pages, 3 figures

References in corpus (3)

• Experimental realization of Shor's quantum factoring algorithm using nuclear magnetic resonance
• Entanglement Assisted Metrology
• Preparation of pseudopure state in a cluster of dipolar-coupled spins with "unresolved" spectrum

Cited by in corpus (11)

• Stimulated wave of polarization in 1D Ising chain
• Dynamics of entanglement in a one-dimensional Ising chain
• Twelve-spin "Schrodinger cat"
• Stimulated wave of polarization in spin chains
• Experimental demonstration of stimulated polarization wave in a chain of nuclear spins
• Measurement-based Multipartite Entanglement Inflation
• Strong correlations in quantum vortex nucleation of ultracold atomic gases
• Reversibility of dynamics and multiple-quantum coherences
• Logarithmic growth of peripheral entanglement concentrated via noisy measurements in a star network of spins
• Resurrection of Schrodinger Cat
• NMR method for amplification of single spin state