Implementation of a quantum algorithm on a nuclear magnetic resonance quantum computer
JOURNAL OF CHEMICAL PHYSICS 109:5 (1998) 1648-1653
Implementation of a quantum search algorithm on a quantum computer
NATURE 393:6683 (1998) 344-346
Geometric quantum computation using nuclear magnetic resonance.
Nature 403:6772 (2000) 869-871
Abstract:A significant development in computing has been the discovery that the computational power of quantum computers exceeds that of Turing machines. Central to the experimental realization of quantum information processing is the construction of fault-tolerant quantum logic gates. Their operation requires conditional quantum dynamics, in which one sub-system undergoes a coherent evolution that depends on the quantum state of another sub-system; in particular, the evolving sub-system may acquire a conditional phase shift. Although conventionally dynamic in origin, phase shifts can also be geometric. Conditional geometric (or 'Berry') phases depend only on the geometry of the path executed, and are therefore resilient to certain types of errors; this suggests the possibility of an intrinsically fault-tolerant way of performing quantum gate operations. Nuclear magnetic resonance techniques have already been used to demonstrate both simple quantum information processing and geometric phase shifts. Here we combine these ideas by performing a nuclear magnetic resonance experiment in which a conditional Berry phase is implemented, demonstrating a controlled phase shift gate.
Preparing High Purity Initial States for Nuclear Magnetic Resonance Quantum Computing
Physical Review Letters 93 (2004) 040501 4pp
Magnetic field sensing beyond the standard quantum limit using 10-spin noon states
Science 324:5931 (2009) 1166-1168