Quantum Channels, Kraus Operators, POVMs
... and noise is produced by interaction with an environment e through a unitary time development operator T . • In this situation one is interested in how the output b is related to the input a if we know nothing about the final environment f . Thus we will need to describe the output by means of an en ...
... and noise is produced by interaction with an environment e through a unitary time development operator T . • In this situation one is interested in how the output b is related to the input a if we know nothing about the final environment f . Thus we will need to describe the output by means of an en ...
Quantum Rotations: A Case Study in Static and Dynamic Machine
... about all “practical” quantum algorithms. We describe each algorithm briefly below and summarize our analysis of these benchmarks in Table 1. The number of Lines of Scaffold code is provided for each benchmark to give a sense of coding complexity. The resource requirements of each algorithm depend o ...
... about all “practical” quantum algorithms. We describe each algorithm briefly below and summarize our analysis of these benchmarks in Table 1. The number of Lines of Scaffold code is provided for each benchmark to give a sense of coding complexity. The resource requirements of each algorithm depend o ...
Fidelity as a figure of merit in quantum error correction
... recovery operations, is identical to the initial state. Therefore, this figure of merit (FOM) is a measure of “likeness”, and it has the characteristic property that identical states have unit fidelity, while orthogonal states have zero fidelity. We have also presented a code with fidelity as its FO ...
... recovery operations, is identical to the initial state. Therefore, this figure of merit (FOM) is a measure of “likeness”, and it has the characteristic property that identical states have unit fidelity, while orthogonal states have zero fidelity. We have also presented a code with fidelity as its FO ...
Qubit metrology for building a fault-tolerant quantum
... can vary in amplitude, duration and frequency. More fundamentally, the Heisenberg uncertainty principle states that it is impossible to directly stabilise a single qubit as any measurement of a bit-flip error will produce a random flip in phase. The key to quantum error correction is measuring qubit p ...
... can vary in amplitude, duration and frequency. More fundamentally, the Heisenberg uncertainty principle states that it is impossible to directly stabilise a single qubit as any measurement of a bit-flip error will produce a random flip in phase. The key to quantum error correction is measuring qubit p ...
7th Workshop on Quantum Chaos and Localisation Phenomena
... a smooth term plus a sum over contributions associated to solutions of the nonlinear Schr¨odinger equation. Our formula applies to bosonic systems with discrete sites, such as the Bose–Hubbard model, in the semiclassical limit as well as in the limit where the number of particles is taken to infinit ...
... a smooth term plus a sum over contributions associated to solutions of the nonlinear Schr¨odinger equation. Our formula applies to bosonic systems with discrete sites, such as the Bose–Hubbard model, in the semiclassical limit as well as in the limit where the number of particles is taken to infinit ...
The 1925 Born and Jordan paper “On quantum mechanics”
... In the abstract Born and Jordan wrote “The recently published theoretical approach of Heisenberg is here developed into a systematic theory of quantum mechanics 共in the first place for systems having one degree of freedom兲 with the aid of mathematical matrix methods.”30 In the introduction they go o ...
... In the abstract Born and Jordan wrote “The recently published theoretical approach of Heisenberg is here developed into a systematic theory of quantum mechanics 共in the first place for systems having one degree of freedom兲 with the aid of mathematical matrix methods.”30 In the introduction they go o ...
Simulating a simple Quantum Computer
... In a Feynman-like quantum computer, the position of the cursor keeps track of the logical progress of the computation If the computation can be accomplished in k+1 (logic gate) operations, the cursor will consist of a chain of k+1 atoms, only one of which can ever be in the |1> state The cursor keep ...
... In a Feynman-like quantum computer, the position of the cursor keeps track of the logical progress of the computation If the computation can be accomplished in k+1 (logic gate) operations, the cursor will consist of a chain of k+1 atoms, only one of which can ever be in the |1> state The cursor keep ...
Steering criteria and steerability witnesses
... – Many experiments realised since then strongly follow the quantum mechanical predictions, and (up to some loopholes involving Eric Cavalcanti, PIAF workshop, Sydney, February 2008 lack of space-like separation) support20 detection efficiencies and/or ...
... – Many experiments realised since then strongly follow the quantum mechanical predictions, and (up to some loopholes involving Eric Cavalcanti, PIAF workshop, Sydney, February 2008 lack of space-like separation) support20 detection efficiencies and/or ...
Negative probability
... specific thing, implicitly taken for granted through its axioms. The deep philosophical essence of the notion of “topos”, itself serving as the basis of ‘formal’ or ‘mathematical logic’, consists in allowing “topology” to be defined and hence: “discontinuity” and “continuity”. With such a structure ...
... specific thing, implicitly taken for granted through its axioms. The deep philosophical essence of the notion of “topos”, itself serving as the basis of ‘formal’ or ‘mathematical logic’, consists in allowing “topology” to be defined and hence: “discontinuity” and “continuity”. With such a structure ...
