Computing prime factors with a Josephson phase qubit quantum processor

@article{Lucero2012ComputingPF,
  title={Computing prime factors with a Josephson phase qubit quantum processor},
  author={Erik Lucero and Rami Barends and Yu Chen and Julian Kelly and M. Mariantoni and Anthony Megrant and P. J. J. O’Malley and Daniel Thomas Sank and Amit Vainsencher and J. Wenner and Theodore White and Yi Yin and Andrew N. Cleland and John M. Martinis},
  journal={Nature Physics},
  year={2012},
  volume={8},
  pages={719-723}
}
Shor’s quantum algorithm factorizes integers, and implementing this is a benchmark test in the early development of quantum processors. Researchers now demonstrate this important test in a solid-state system: a circuit made up of four superconducting qubits factorizes the number 15. 

Computing prime factors using a Josephson phase-qubit architecture: 15 = 3 x 5

Computing prime factors using a Josephson phase-qubit architecture: 15 = 3× 5

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References

SHOWING 1-10 OF 35 REFERENCES

Experimental demonstration of a compiled version of Shor's algorithm with quantum entanglement.

For the first time, the core processes, coherent control, and resultant entangled states required in a full-scale implementation of Shor's powerful quantum algorithm for factoring are demonstrated in a photonic system.

Computing prime factors using a Josephson phase-qubit architecture: 15 = 3 x 5

Computing prime factors using a Josephson phase-qubit architecture: 15 = 3× 5

Demonstration of a compiled version of Shor's quantum factoring algorithm using photonic qubits.

An experimental demonstration of a complied version of Shor's algorithm using four photonic qubits using a simplified linear optical network to coherently implement the quantum circuits of the modular exponential execution and semiclassical quantum Fourier transformation.

Shor’s Quantum Factoring Algorithm on a Photonic Chip

The demonstration of a compiled version of Shor’s quantum factoring algorithm on an integrated waveguide silica-on-silicon chip that guides four single-photon qubits through the computation to factor 15 is reported.

Tripartite interactions between two phase qubits and a resonant cavity

Micrometre-scale superconducting circuits are at present explored as the building blocks for scalable quantum information processors. In a system where two such qubits are coupled to a resonant

Implementing the Quantum von Neumann Architecture with Superconducting Circuits

A quantum central processing unit that exchanges data with a quantum random-access memory integrated on a chip, with instructions stored on a classical computer is demonstrated.

Demonstration of two-qubit algorithms with a superconducting quantum processor

A two-qubit superconducting processor and the implementation of the Grover search and Deutsch–Jozsa quantum algorithms are demonstrated and the generation of highly entangled states with concurrence up to 94 per cent is allowed.

High-fidelity gates in a single josephson qubit.

A new metrology tool is introduced-- Ramsey interference error filter- that can measure the occupation probability of the state |2> which is outside the computational basis, down to 10{-4}, thereby confirming that the quantum system stays within the qubit manifold during single qubit logic operations.

Experimental realization of Shor's quantum factoring algorithm using nuclear magnetic resonance

A simple, parameter-free but predictive model of decoherence effects in the authors' system is presented, which is in principle scalable to systems containing many quantum bits, but such scalability is not implied by the present work.

State tomography of capacitively shunted phase qubits with high fidelity.

A new design concept is introduced in which the capacitive element is explicitly separate from the Josephson tunnel junction for improved qubit performance and the number of two-level systems that couple to the qubit is reduced and the measurement fidelity improves to 90%.