Power of Quantum Computation with Few Clean Qubits
... which provides a reasonable ground for the well-used definition of BQP that employs bounds 2/3 and 1/3 for completeness and soundness, respectively. In many other computation models, however, it is unclear whether the error can be reduced efficiently by the standard repetition-based method, and more ...
... which provides a reasonable ground for the well-used definition of BQP that employs bounds 2/3 and 1/3 for completeness and soundness, respectively. In many other computation models, however, it is unclear whether the error can be reduced efficiently by the standard repetition-based method, and more ...
Document
... The typical classical single-bit error is the bit-flip: 0 ↔ 1. If we assume a simple error model (the binary symmetric channel) in which bit flips errors occur on each bit independently with probablility p per unit time, we expect a bit to be corrupted after O(1/p) steps. (In general, we assume p ≪ ...
... The typical classical single-bit error is the bit-flip: 0 ↔ 1. If we assume a simple error model (the binary symmetric channel) in which bit flips errors occur on each bit independently with probablility p per unit time, we expect a bit to be corrupted after O(1/p) steps. (In general, we assume p ≪ ...
Ph. D. thesis Quantum Phase Transitions in Correlated Systems
... transitions are associated with the singularities of thermodynamic quantities and, accordingly, can be traditionally classified as first-order or second-order transitions. In experiments, control parameters can be temperature, pressure, magnetic and electric fields or doping. When the phase transiti ...
... transitions are associated with the singularities of thermodynamic quantities and, accordingly, can be traditionally classified as first-order or second-order transitions. In experiments, control parameters can be temperature, pressure, magnetic and electric fields or doping. When the phase transiti ...
Measurement Models for Quantum Zeno and anti
... aspects more similar to the measurements in classical mechanics and can be used to obtain interesting results about some questions that are trivial in classical mechanics but lack rigorous formulation in quantum mechanics. One of such a question is the tunneling time problem. There have been many at ...
... aspects more similar to the measurements in classical mechanics and can be used to obtain interesting results about some questions that are trivial in classical mechanics but lack rigorous formulation in quantum mechanics. One of such a question is the tunneling time problem. There have been many at ...
Reversible work extraction in a hybrid opto
... have shown in their pioneering works that calorific fluids could be identified with microscopic systems encoding bits of information. As a result, they found out that one bit of information could be reversibly converted into an elementary amount of energy. The validity of this principle has been recent ...
... have shown in their pioneering works that calorific fluids could be identified with microscopic systems encoding bits of information. As a result, they found out that one bit of information could be reversibly converted into an elementary amount of energy. The validity of this principle has been recent ...
191 THE SUBJECT-ORIENTED APPROACH TO KNOWLEDGE
... that most living organisms possess the capacity to construct and maintain internal representations (models) of their environments. To use a model is very much like feeding a set of given premises into a ”black box" (an algorithm representing the model), and as output receiving a set of conclusions ...
... that most living organisms possess the capacity to construct and maintain internal representations (models) of their environments. To use a model is very much like feeding a set of given premises into a ”black box" (an algorithm representing the model), and as output receiving a set of conclusions ...
coherent states in quantum mechanics
... interest. Quantum mechanics describes the time evolution of physical systems in a different way, through the systems’ wavefunction: ψ(x, t). The variables x and p will be replaced by the operators x and p, which are functions. The position operator x multiplies by x and the momentum operator p takes ...
... interest. Quantum mechanics describes the time evolution of physical systems in a different way, through the systems’ wavefunction: ψ(x, t). The variables x and p will be replaced by the operators x and p, which are functions. The position operator x multiplies by x and the momentum operator p takes ...
Document
... Example 8.1 Using the particle in a box solutions (p.292) • What is the probability, P, of locating the electron between x = 0 (the left-hand end of a box) and x = 0.2 nm in its lowest energy state in a cbox of length 1.0 nm? • Method The value of Ψ2dx is the probability of finding the particle in ...
... Example 8.1 Using the particle in a box solutions (p.292) • What is the probability, P, of locating the electron between x = 0 (the left-hand end of a box) and x = 0.2 nm in its lowest energy state in a cbox of length 1.0 nm? • Method The value of Ψ2dx is the probability of finding the particle in ...
The Wave Function
... nucleus itself, or an electron in a metal or . . . ? The answer to this question is intimately linked with what has been suggested by the use above of such phrases as ‘where the particle is most likely to be found’ and so on, words that are hinting at the fundamental role of randomness as an intrins ...
... nucleus itself, or an electron in a metal or . . . ? The answer to this question is intimately linked with what has been suggested by the use above of such phrases as ‘where the particle is most likely to be found’ and so on, words that are hinting at the fundamental role of randomness as an intrins ...
Quantum tomography via compressed sensing: error bounds, sample complexity and... estimators
... O(r d poly log d) Pauli matrices. This implies the existence of the so-called ‘universal’ methods for low-rank matrix recovery: there exists a fixed set of O(r d poly log d) Pauli measurements, which has the ability to reconstruct every rank-r d × d matrix. Moreover, with high probability, a random ...
... O(r d poly log d) Pauli matrices. This implies the existence of the so-called ‘universal’ methods for low-rank matrix recovery: there exists a fixed set of O(r d poly log d) Pauli measurements, which has the ability to reconstruct every rank-r d × d matrix. Moreover, with high probability, a random ...
The Mach–Zehnder interferometer • Coherent
... This transformation is indeed unitary as it preserves the norm of the state. Since it is a single-mode state, the only optical element that realizes unitary operations is a phase shifter which can only generate transformations to states c0 |0� + eiϕ c1 |1� + e2iϕ c2 |2� which does not contain the tr ...
... This transformation is indeed unitary as it preserves the norm of the state. Since it is a single-mode state, the only optical element that realizes unitary operations is a phase shifter which can only generate transformations to states c0 |0� + eiϕ c1 |1� + e2iϕ c2 |2� which does not contain the tr ...
PDF
... where T (B) refers to light passing through the top (bottom) hole of the mask, and the polarization state is H for the horizontally-polarized signal (S) and V for the vertically-polarized idler (I). In the final expression we identify the H and T states with the logical 0 and the V and B states with ...
... where T (B) refers to light passing through the top (bottom) hole of the mask, and the polarization state is H for the horizontally-polarized signal (S) and V for the vertically-polarized idler (I). In the final expression we identify the H and T states with the logical 0 and the V and B states with ...
Introduction
... explanation. The difficulties that have raised in relating quantum mechanical phenomena to classical concepts like properties, causes, or entities like particles or waves are still open, so that there is not yet agreement on what kind of metaphysics is lying at the foundations of quantum mechanics. ...
... explanation. The difficulties that have raised in relating quantum mechanical phenomena to classical concepts like properties, causes, or entities like particles or waves are still open, so that there is not yet agreement on what kind of metaphysics is lying at the foundations of quantum mechanics. ...
