The qubits and the equations of physics

... 5. Reversibility is restored only if one extends the parameters to the field of complex numbers 6. Time emerges as a uniform parameter that tracks the sequence of actions and we derive a dynamical equation for the qubit. 7. A qubit needs a carrier, a particle of mass m, its presence in the qubit dyn ...

... 5. Reversibility is restored only if one extends the parameters to the field of complex numbers 6. Time emerges as a uniform parameter that tracks the sequence of actions and we derive a dynamical equation for the qubit. 7. A qubit needs a carrier, a particle of mass m, its presence in the qubit dyn ...

Quantum Computing at the Speed of Light

... Harnessing quantum states for information storage and manipulation (in so called “qubits”) is the objective of quantum computing, with the potential to revolutionize technology in areas of great importance to society (e.g. cryptography, data base searching, quantum simulation of advance materials, s ...

... Harnessing quantum states for information storage and manipulation (in so called “qubits”) is the objective of quantum computing, with the potential to revolutionize technology in areas of great importance to society (e.g. cryptography, data base searching, quantum simulation of advance materials, s ...

Lecture 3

... industry about that…) I.e., there is a unitary transformation Un: Un|xi|0i = |xi|xi for all x2{0,1}n But then by linearity U1 1/2.5(|0i+|1i) |0i= 1/21/2 (|00i+|11i) 1/21/2(|0i+|1i) times 1/2.5(|0i+|1i) ...

... industry about that…) I.e., there is a unitary transformation Un: Un|xi|0i = |xi|xi for all x2{0,1}n But then by linearity U1 1/2.5(|0i+|1i) |0i= 1/21/2 (|00i+|11i) 1/21/2(|0i+|1i) times 1/2.5(|0i+|1i) ...

Computing prime factors with a Josephson phase qubit quantum

... In this experiment, we scaled-up from an architecture initially implemented with two qubits and three resonators [7] to a nine-element quantum processor (QuP) capable of realizing rapid entanglement and a compiled version of Shor’s algorithm. The device is composed of four phase qubits and five supe ...

... In this experiment, we scaled-up from an architecture initially implemented with two qubits and three resonators [7] to a nine-element quantum processor (QuP) capable of realizing rapid entanglement and a compiled version of Shor’s algorithm. The device is composed of four phase qubits and five supe ...

After a 30-year struggle to harness quantum weirdness for

... tasks. They also need to remain in their quantum states for much longer than it takes to perform a computing step — typically a microsecond or so. To achieve those goals, physicists are pursuing a two-fold strategy: extending the life of qubits and reducing how often they go wrong, and devising algo ...

... tasks. They also need to remain in their quantum states for much longer than it takes to perform a computing step — typically a microsecond or so. To achieve those goals, physicists are pursuing a two-fold strategy: extending the life of qubits and reducing how often they go wrong, and devising algo ...

Research Status, Winter 2009 - Cove

... • 15 is a trivial example, how about a 128 bit number? • We need 384 qubits (128 * 3) to do the quantum part of the algorithm. – The quantum operations that are performed are done once, just on more qubits. Similar to adding two integers: same technique, more bits. ...

... • 15 is a trivial example, how about a 128 bit number? • We need 384 qubits (128 * 3) to do the quantum part of the algorithm. – The quantum operations that are performed are done once, just on more qubits. Similar to adding two integers: same technique, more bits. ...

Quantum State Reconstruction From Incomplete Data

... Information encoded in a state of a quantum system The system interacts with its (large) environment The information “dilutes” into a reservoir (“equilibrates”) Where the original information goes ? Is the process reversible ? Can we recover diluted information ? Can we derive a master equation? Wha ...

... Information encoded in a state of a quantum system The system interacts with its (large) environment The information “dilutes” into a reservoir (“equilibrates”) Where the original information goes ? Is the process reversible ? Can we recover diluted information ? Can we derive a master equation? Wha ...