Compatibility in Multiparameter Quantum Metrology
... be understood as a matrix inequality. In general, we can write Tr[G Cov(ϕ̃)] ≥ Tr(GF −1 (ϕ)) where G is some positive cost matrix, which allows us to asymmetrically prioritise the uncertainty cost of different parameters. As in the single parameter case, the bound is saturable in the limit of an infin ...
... be understood as a matrix inequality. In general, we can write Tr[G Cov(ϕ̃)] ≥ Tr(GF −1 (ϕ)) where G is some positive cost matrix, which allows us to asymmetrically prioritise the uncertainty cost of different parameters. As in the single parameter case, the bound is saturable in the limit of an infin ...
1 - Hal-SHS
... physics and quantum theory of gauge fields). It might therefore appear nowadays as the most natural interpretation of the quantum formalism. We shall concentrate here on the consistency of this «direct interpretation» conception with our understanding of probabilities in quantum physics. As a matter ...
... physics and quantum theory of gauge fields). It might therefore appear nowadays as the most natural interpretation of the quantum formalism. We shall concentrate here on the consistency of this «direct interpretation» conception with our understanding of probabilities in quantum physics. As a matter ...
Gibbs' paradox and black-hole entropy
... The fact that there is not an exact coincidence can easily be understood: the term proportional to ln N describes fluctuations. If the partition is removed, fluctuations with larger magnitude than in the presence of the partition become possible; thus, a little more states become available. In this ...
... The fact that there is not an exact coincidence can easily be understood: the term proportional to ln N describes fluctuations. If the partition is removed, fluctuations with larger magnitude than in the presence of the partition become possible; thus, a little more states become available. In this ...
Quantum walk based search algorithms
... define the flip F 0 as F but controlled by the right end-point of the edge, then it is not hard to see that SF SF = F 0 F . Therefore one can get rid of the shift operations, and two steps of the walk can be accomplished by two successive flips where the control and the target registers alternate. C ...
... define the flip F 0 as F but controlled by the right end-point of the edge, then it is not hard to see that SF SF = F 0 F . Therefore one can get rid of the shift operations, and two steps of the walk can be accomplished by two successive flips where the control and the target registers alternate. C ...
(2)
... An algorithm is presented for the exact solution of the evolution of the density matrix of a mixed quantum-classical system in terms of an ensemble of surface hopping trajectories. The system comprises a quantum subsystem coupled to a classical bath whose evolution is governed by a mixed quantum-cla ...
... An algorithm is presented for the exact solution of the evolution of the density matrix of a mixed quantum-classical system in terms of an ensemble of surface hopping trajectories. The system comprises a quantum subsystem coupled to a classical bath whose evolution is governed by a mixed quantum-cla ...