while (M) P
... • Branching as classical control In our modelling we consider branching which is conditional upon the outcomes of measurements. This is opposed to controlled unitary transformation (e.g. CNOT), where the controlling qubit is not measured. More complex quantum algorithms usually have such classical c ...
... • Branching as classical control In our modelling we consider branching which is conditional upon the outcomes of measurements. This is opposed to controlled unitary transformation (e.g. CNOT), where the controlling qubit is not measured. More complex quantum algorithms usually have such classical c ...
The quantum mechanics of photon addition and subtraction
... the other mode, without having to measure it. As shown in Figure 1(b), an initial field input to one mode will gain one extra photon heralded by a photon detected in the conjugate mode. By adding only one photon, any input state is converted into a nonclassical state that cannot be described by clas ...
... the other mode, without having to measure it. As shown in Figure 1(b), an initial field input to one mode will gain one extra photon heralded by a photon detected in the conjugate mode. By adding only one photon, any input state is converted into a nonclassical state that cannot be described by clas ...
Fermionic quantum criticality and the fractal nodal surface
... -> A fractal nodal surface is a necessary condition for a fermionic quantum critical state. -> Fermionic backflow wavefunctions have a fractal nodal surface: Mottness. Work in progress: reading the physics from bosons and nodal geometry (Fermi-liquids, superconductivity, criticality … ) . ...
... -> A fractal nodal surface is a necessary condition for a fermionic quantum critical state. -> Fermionic backflow wavefunctions have a fractal nodal surface: Mottness. Work in progress: reading the physics from bosons and nodal geometry (Fermi-liquids, superconductivity, criticality … ) . ...
CR2
... Given the particular differential operators involved, this is a linear partial differential equation. It is also a diffusion equation, but unlike the heat equation, this one is also a wave equation given the imaginary unit present in the transient term. The time-independent Schrödinger equation is t ...
... Given the particular differential operators involved, this is a linear partial differential equation. It is also a diffusion equation, but unlike the heat equation, this one is also a wave equation given the imaginary unit present in the transient term. The time-independent Schrödinger equation is t ...
Realisation of a programmable two-qubit quantum processor
... with a standard deviation of 1.5 %, as we would expect for the means of 10 measurements which themselves have a standard deviation of 4.5 %. The primary fidelity loss mechanisms are percent-level intensity fluctuations in the Raman light fields[10] and spontaneous emission[26]; the fidelities observ ...
... with a standard deviation of 1.5 %, as we would expect for the means of 10 measurements which themselves have a standard deviation of 4.5 %. The primary fidelity loss mechanisms are percent-level intensity fluctuations in the Raman light fields[10] and spontaneous emission[26]; the fidelities observ ...
Free Will Theorem
... twinned spin-one particles holds universally, for quantum-systems-in-general— then we understand the force of their claim that “to the extent that we can attribute ‘free will’ to the decisions Alice/Bob made during the execution of their measurements, so also must we attribute ‘free will’ to the res ...
... twinned spin-one particles holds universally, for quantum-systems-in-general— then we understand the force of their claim that “to the extent that we can attribute ‘free will’ to the decisions Alice/Bob made during the execution of their measurements, so also must we attribute ‘free will’ to the res ...
Fulltext PDF
... An important remark about quantum ¯eld theory is in order here. Although we divided the stu® of the Universe into a ¯eld sector and a particle sector, ¯elds have their quanta which are particles and in quantum ¯eld theory each particle in the particle sector also has its quantum ¯eld; electron, for ...
... An important remark about quantum ¯eld theory is in order here. Although we divided the stu® of the Universe into a ¯eld sector and a particle sector, ¯elds have their quanta which are particles and in quantum ¯eld theory each particle in the particle sector also has its quantum ¯eld; electron, for ...
- RZ User
... for the electron spin) describes probabilities for other individual spinor states rather than for any classical properties. The problem was so painful that Heisenberg spoke of the wave function as “a new form of human knowledge as an intermediary level of reality”, while Bohr introduced his, in his ...
... for the electron spin) describes probabilities for other individual spinor states rather than for any classical properties. The problem was so painful that Heisenberg spoke of the wave function as “a new form of human knowledge as an intermediary level of reality”, while Bohr introduced his, in his ...
qm-cross-sections
... We define the time evolution operator U(t,t0) such that a system evolves from some initial configuration, |a> to a final configuration |c> according to |c; t> = U(t,t0) |a; t0>. U(t,t0) is a function of the Hamiltonian. The relationship between U(t,t0) and the Hamiltonian is worked out in books on ...
... We define the time evolution operator U(t,t0) such that a system evolves from some initial configuration, |a> to a final configuration |c> according to |c; t> = U(t,t0) |a; t0>. U(t,t0) is a function of the Hamiltonian. The relationship between U(t,t0) and the Hamiltonian is worked out in books on ...
Lecture 9
... Expectation values The reason for the repetition is that quantum mechanics does not make definite predictions for the position, momentum, etc. When we do the exact same measurement on identically prepared systems, we do not get always get the same result, as we do in classical mechanics. But probabi ...
... Expectation values The reason for the repetition is that quantum mechanics does not make definite predictions for the position, momentum, etc. When we do the exact same measurement on identically prepared systems, we do not get always get the same result, as we do in classical mechanics. But probabi ...
Reachable set of open quantum dynamics for a single
... Bonnard & Sugny, 2009). Some qualitative descriptions of the reachable set have been obtained (Altafini, 2004), while here we will give a platform that enables a quantitative description, provide a frame for general time optimal control problem. This result is also expected to be helpful for quantum ...
... Bonnard & Sugny, 2009). Some qualitative descriptions of the reachable set have been obtained (Altafini, 2004), while here we will give a platform that enables a quantitative description, provide a frame for general time optimal control problem. This result is also expected to be helpful for quantum ...
1 Bohr-Sommerfeld Quantization
... that we developed Fourier analysis, but now you have seen other basis sets labelled by other quantum numbers, and the meaning here is the same. It is important to remember that any individual plane-wave basis function has a constant amplitude over all space, and so is not actually normalizable. Thus ...
... that we developed Fourier analysis, but now you have seen other basis sets labelled by other quantum numbers, and the meaning here is the same. It is important to remember that any individual plane-wave basis function has a constant amplitude over all space, and so is not actually normalizable. Thus ...
Path Integrals in Quantum Mechanics
... The method of Path Integrals (PI’s) was developed by Richard Feynman in the 1940’s. It offers an alternate way to look at quantum mechanics (QM), which is equivalent to the Schrödinger formulation. As will be seen in this project work, many "elementary" problems are much more difficult to solve usin ...
... The method of Path Integrals (PI’s) was developed by Richard Feynman in the 1940’s. It offers an alternate way to look at quantum mechanics (QM), which is equivalent to the Schrödinger formulation. As will be seen in this project work, many "elementary" problems are much more difficult to solve usin ...