
Executive Summary Last modified October 13
... eight-dimensional vectors, they are manipulated quite differently for classical or quantum computation, respectively. For computing in either case, the system must be initialized, “for example into the all-zeros string, corresponding to the vector (1,0,0,0,0,0,0,0). In classical randomized computati ...
... eight-dimensional vectors, they are manipulated quite differently for classical or quantum computation, respectively. For computing in either case, the system must be initialized, “for example into the all-zeros string, corresponding to the vector (1,0,0,0,0,0,0,0). In classical randomized computati ...
An Invitation to Quantum Complexity Theory
... More formally, is NP BQP? Contrary to almost every popular article ever written on the subject, most of us think the answer is no For “generic” combinatorial optimization problems, the situation seems similar to that of black-box model—where you only get the quadratic speedup of Grover’s algorithm ...
... More formally, is NP BQP? Contrary to almost every popular article ever written on the subject, most of us think the answer is no For “generic” combinatorial optimization problems, the situation seems similar to that of black-box model—where you only get the quadratic speedup of Grover’s algorithm ...
Algebraic Aspects of Topological Quantum Computing
... The set { MCs of rank M } is finite. Classified for: M=1, 2 (V. Ostrik), 3 and 4 (E.R., Stong, Wang) True for finite groups! (Landau 1903) ...
... The set { MCs of rank M } is finite. Classified for: M=1, 2 (V. Ostrik), 3 and 4 (E.R., Stong, Wang) True for finite groups! (Landau 1903) ...
Introduction to Quantum Computation
... each answer with probability 1/2. With probability 1/2, Alice and Bob have different bits. ...
... each answer with probability 1/2. With probability 1/2, Alice and Bob have different bits. ...
Quantum Computing
... • Decoherence can be viewed as the loss of information from a system into the environment (often modeled as a heat bath). It is thus acknowledged that no system is, in reality, perfectly isolated—but rather every system is loosely coupled with the energetic state of its surroundings. Viewed in isola ...
... • Decoherence can be viewed as the loss of information from a system into the environment (often modeled as a heat bath). It is thus acknowledged that no system is, in reality, perfectly isolated—but rather every system is loosely coupled with the energetic state of its surroundings. Viewed in isola ...
Part IV
... • Quantum information is radically different to its classical counterpart. This is because the superposition principle allows for many possible states. • Our inability to measure every property we might like leads to information security, but generalised measurements allow more possibilities than th ...
... • Quantum information is radically different to its classical counterpart. This is because the superposition principle allows for many possible states. • Our inability to measure every property we might like leads to information security, but generalised measurements allow more possibilities than th ...
Quantum-limited measurements: One physicist`s crooked path from
... S. L. Braunstein, C. M. Caves, and G. J. Milburn, Ann. Phys. 247, 135 (1996). V. Giovannetti, S. Lloyd, and L. Maccone, PRL 96, 041401 (2006). ...
... S. L. Braunstein, C. M. Caves, and G. J. Milburn, Ann. Phys. 247, 135 (1996). V. Giovannetti, S. Lloyd, and L. Maccone, PRL 96, 041401 (2006). ...