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Lecture Notes of my Course on Quantum Computing
Lecture Notes of my Course on Quantum Computing

Mathematical Aspects of Quantum Theory and Quantization Summer
Mathematical Aspects of Quantum Theory and Quantization Summer

Coupled quantum dots as quantum gates
Coupled quantum dots as quantum gates

... phase coherence of the qubits must be preserved. It is thus an essential advantage of real spins that their dephasing times in GaAs can be on the order of microseconds,23 whereas for charge degrees of freedom dephasing times are typically much less, on the order of nanoseconds.24,25 In addition to a ...
Quantum optimal control theory applied to transitions in
Quantum optimal control theory applied to transitions in

... |Pnew − Pold | |J2,new − J2,old | ...
3.2 Popescu–Rohrlich Bananas and Bell`s Theorem
3.2 Popescu–Rohrlich Bananas and Bell`s Theorem

... to these ports, labeled 0 and 1, and two possible outputs, also labeled 0 and 1, that are randomly related to the inputs: the outputs 0 and 1 for Alice and Bob separately occur with equal probability for any input. In particular, Alice’s output occurs randomly and independently of Bob’s input, and s ...
Polynomial-Time Algorithms for Prime Factorization and Discrete
Polynomial-Time Algorithms for Prime Factorization and Discrete

... [1989]. For other models of quantum computers, see references on quantum Turing machines [Deutsch 1985; Bernstein and Vazirani 1993; Yao 1993] and quantum cellular automata [Feynman 1986; Margolus 1986, 1990; Lloyd 1993; Biafore 1994]. If they are allowed a small probability of error, quantum Turing ...
Operators and Quantum Mechanics
Operators and Quantum Mechanics

Do You Need to Believe in Orbitals to Use Them - Philsci
Do You Need to Believe in Orbitals to Use Them - Philsci

... principle incorrect if there is more than one electron” (Cohen and Bustard 1966, 190). The Hartree-Fock procedure described above is an attempt to overlook this problem and express the atomic wave-function as a product of orbitals. This procedure is quite successful, but it still leaves us with che ...
Quantum-classical correspondence in the hydrogen atom in weak
Quantum-classical correspondence in the hydrogen atom in weak

... theorem, in a much stronger form, for the important case of the hydrogen atom in weak, slowly varying external fields. This paper is organized as follows. In Sec. II we derive explicitly the equations of motion for the quantum expectation values over states confined within a hydrogenic nmanifold, an ...
From Quantum Gates to Quantum Learning: recent research and
From Quantum Gates to Quantum Learning: recent research and

... • Put all 7-bits into a superposition state • superposition allows quantum computer to make calculations on all 128 possible numbers (27) in ONE iteration i.e. finishes in 1 second. • Tremendous possibilities… imagine doing computations on even larger sample spaces all at the same time!!! ...
A Complete Characterization of Unitary Quantum
A Complete Characterization of Unitary Quantum

... • Ask Merlin to send many copies of the original witness and run protocol on each one, take majority vote • Problem with this: number of proof qubits grows with improving error bounds • Needs r/(c-s)2 repetitions to obtain error 2-r by Chernoff bound • Define two projectors: ⇧0 = |0ih0|anc and ⇧1 ...
Curriculum Vitae Irinel Chiorescu
Curriculum Vitae Irinel Chiorescu

... direction I developed at FSU is focusing on quantum coherence and it involves studies of spin dynamics in diluted spin systems and molecular magnets. The research program benefited from an Alfred P. Sloan Research Fellowship and a NSF Career award, now continued with a regular NSF grant. This goal i ...
Lecture notes, Chapter 2. Introduction to Quantum Mechanics
Lecture notes, Chapter 2. Introduction to Quantum Mechanics

... The state vector is no longer a collection of values for different properties of the system. The state gives instead a complete description of the set of probabilities for all the physical properties (or observables). All the information is contained in the state, irrespectively on how I got the stat ...
A Matrix Realignment Method for Recognizing Entanglement
A Matrix Realignment Method for Recognizing Entanglement

... Chen is now a postdoctoral fellow of Prof. Hoi-Kwong Lo‘s group in Dept. of Physics University of Toronto E-mail: [email protected] †Kai ...
Thermodynamic framework for the ground state of a
Thermodynamic framework for the ground state of a

... q = 2, characteristic of nonextensive statistical mechanics (in this way, a heat contribution was defined, δQ = θ dS2 ); (c) it is proportional to the density of vortices n. This property yields the desirable possibility for varying θ , since recent experimental research in type-II superconductors l ...
Evaluating charge noise acting on semiconductor quantum dots in
Evaluating charge noise acting on semiconductor quantum dots in

... and dephasing times of actual superconducting qubits. Additionally, it attracts a lot of interest in the mesoscopic physics community where, for example, photon-mediated non-local electronic transport between separated quantum dots has been predicted4,12 and quantum capacitance measurements on singl ...
A Quantum Algorithm for Finding Minimum Exclusive
A Quantum Algorithm for Finding Minimum Exclusive

Solving Critical Section problem in Distributed system by Entangled Quantum bits
Solving Critical Section problem in Distributed system by Entangled Quantum bits

... A distributed system may have thousands of data items and scores of databases residing in many widely dispersed sites. Moreover, many users can have simultaneous access to this data. Therefore, it is required that processes at different sites cooperate with one another and have some sort of coordina ...
Bird`s Eye View - Student Friendly Quantum Field Theory
Bird`s Eye View - Student Friendly Quantum Field Theory

... commutation relations for certain operators (which result in other quantum phenomena such as uncertainty.) But it was soon recognized that one could do the reverse. One could, instead, take the classical Poisson brackets over into quantum commutation relations first, and because of that, the dynamic ...
An Introduction to Quantum Spin Systems Notes for MA5020 (John
An Introduction to Quantum Spin Systems Notes for MA5020 (John

... where Sx denotes the vector of the 3 × 3 spin-1 matrices acting at the xth site of the chain, which generate the three-dimensional unitary irreducible representation of SU (2). See Appendix 9 for the definitions and elementary properties of representations of SU (2). In [4] the authors prove that, t ...
Consciousness, the Brain, and Spacetime Geometry
Consciousness, the Brain, and Spacetime Geometry

POISSON BOUNDARIES OVER LOCALLY COMPACT
POISSON BOUNDARIES OVER LOCALLY COMPACT

Two-dimensional electron gas in InGaAs/ InAlAs quantum wells E. Diez
Two-dimensional electron gas in InGaAs/ InAlAs quantum wells E. Diez

... t 共circles兲, measured at 4.2 K for samples 1–3 and 10–12, as a function of d, the distance from the bottom doping layer to the quantum well. Both scattering rates 共␶−1兲 shows a fast decrease at small values of d 共below ⬃30 nm兲, indicating that the dopants provide efficient scattering for electrons a ...
1 Engineering Entanglement: Quantum Computation, Quantum
1 Engineering Entanglement: Quantum Computation, Quantum

... be described as differential equations and solved numerically by algorithms. And this approach applies to a stochastic physical system as long as some randomized features are introduced into the Turing machines. But the same approach would encounter difficulties in simulating quantum physics, for th ...
Quantum Computing
Quantum Computing

... waves by stating that particles can exhibit wave characteristics and vice versa. ...
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Interpretations of quantum mechanics

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