arXiv:quant-ph/0610027v1 4 Oct 2006
... The optimal error probability of discriminating two quantum states ρ0 and ρ1 has been identified a long time ago by Helström [3]. We consider the two hypotheses H0 and H1 that a given quantum system is prepared either in the state ρ0 or in the state ρ1 , respectively. Since the (quantum) Chernoff b ...
... The optimal error probability of discriminating two quantum states ρ0 and ρ1 has been identified a long time ago by Helström [3]. We consider the two hypotheses H0 and H1 that a given quantum system is prepared either in the state ρ0 or in the state ρ1 , respectively. Since the (quantum) Chernoff b ...
Working Group "Young DPG" Arbeitsgruppe junge DPG (AGjDPG
... are dominated by a continuum of fluctuations. Such states arise in the vicinity of phase transitions, which are accessed by the variation of a non-thermal control parameter at zero temperature, so-called quantum phase transitions. Even though quantum phase transitions are strictly defined to be at z ...
... are dominated by a continuum of fluctuations. Such states arise in the vicinity of phase transitions, which are accessed by the variation of a non-thermal control parameter at zero temperature, so-called quantum phase transitions. Even though quantum phase transitions are strictly defined to be at z ...
Energy Levels Of Hydrogen Atom Using Ladder Operators
... Hermite polynomials by solving differential equations. Then, we will use algebraic ladder operator methods in order to find the energy eigenvalues which should result in the same answer. In the second section the aim is to find the the energy levels of the Hydrogen atom[1] using the two methods[2] e ...
... Hermite polynomials by solving differential equations. Then, we will use algebraic ladder operator methods in order to find the energy eigenvalues which should result in the same answer. In the second section the aim is to find the the energy levels of the Hydrogen atom[1] using the two methods[2] e ...
Lecture notes 6: Strong and weak interactions
... charged with color and the physics of these exchanges are termed “quantum chromodynamics”. Protons and neutrons combine three quarks with different colors such that both protons and neutrons are color free, or white. This is also true of the mesons discussed below which are composed of a quark and a ...
... charged with color and the physics of these exchanges are termed “quantum chromodynamics”. Protons and neutrons combine three quarks with different colors such that both protons and neutrons are color free, or white. This is also true of the mesons discussed below which are composed of a quark and a ...
Gaussian resolutions for equilibrium density matrices
... the potential U ðxÞ ¼ 4 4x2 þ x4 . Now a grid of 14 points with 3 < qn < 3 was used. The corresponding results using both the unsymmetrized and symmetrized Gaussians are shown in Fig. 2. The agreement between the exact result (fully converged diagonalization of H^ in a large basis) and that compu ...
... the potential U ðxÞ ¼ 4 4x2 þ x4 . Now a grid of 14 points with 3 < qn < 3 was used. The corresponding results using both the unsymmetrized and symmetrized Gaussians are shown in Fig. 2. The agreement between the exact result (fully converged diagonalization of H^ in a large basis) and that compu ...
5. Particles in a Magnetic Field
... there is a transition between di↵erent plateaux. This phenomenon, called the integer Quantum Hall E↵ect, was discovered by Klaus von Klitzing in 1980. For this, he was awarded the Nobel prize in 1985. It turns out that the integer quantum Hall e↵ect is a direct consequence of the existence of discre ...
... there is a transition between di↵erent plateaux. This phenomenon, called the integer Quantum Hall E↵ect, was discovered by Klaus von Klitzing in 1980. For this, he was awarded the Nobel prize in 1985. It turns out that the integer quantum Hall e↵ect is a direct consequence of the existence of discre ...
Inertial mass and the quantum vacuum fields
... known as quantum field theory, is both conceptually rich and quantitatively successful: witness the agreement between theory and experiment of the magnetic moment of the electron to thirteen significant figures. Although the technique that has been used so far to develop the hypothesis connecting in ...
... known as quantum field theory, is both conceptually rich and quantitatively successful: witness the agreement between theory and experiment of the magnetic moment of the electron to thirteen significant figures. Although the technique that has been used so far to develop the hypothesis connecting in ...
Quantum Chaos
... Let us define the Wigner distribution (for a pure state; extension for a general density matrix follows straightforwardly): ...
... Let us define the Wigner distribution (for a pure state; extension for a general density matrix follows straightforwardly): ...
Nobel Lecture: Fractional quantization
... simple rules that may be verified experimentally, mediates the attractive interaction responsible for conventional superconductivity, and so forth, and none of these things depends in detail on the underlying equations of motion. They are generic properties of the crystalline state. The phonon cease ...
... simple rules that may be verified experimentally, mediates the attractive interaction responsible for conventional superconductivity, and so forth, and none of these things depends in detail on the underlying equations of motion. They are generic properties of the crystalline state. The phonon cease ...
The strange (hi)story of particles and waves*
... that was to replace the concept of deterministic trajectories by formal probabilistic rules. Together with Born and Jordan, Heisenberg then constructed an elegant algebraic framework that could be used to “quantize” all mechanical systems. This mathematical abstraction perfectly matched Heisenberg’s ...
... that was to replace the concept of deterministic trajectories by formal probabilistic rules. Together with Born and Jordan, Heisenberg then constructed an elegant algebraic framework that could be used to “quantize” all mechanical systems. This mathematical abstraction perfectly matched Heisenberg’s ...
Single and Entangled Photon Sources
... a paper describing the EPR paradox. This paper described how in quantum mechanics a pair of quantum systems could be illustrated by a single wave function. This notion had the writers believe that there either was some interaction between the particles, or the information on the outcomes of the meas ...
... a paper describing the EPR paradox. This paper described how in quantum mechanics a pair of quantum systems could be illustrated by a single wave function. This notion had the writers believe that there either was some interaction between the particles, or the information on the outcomes of the meas ...
Quantum Probabilistic Dyadic Second-Order Logic⋆
... Institute for Logic, Language and Computation, Universiteit van Amsterdam Science Park 107, 1098XG Amsterdam, The Netherlands. ...
... Institute for Logic, Language and Computation, Universiteit van Amsterdam Science Park 107, 1098XG Amsterdam, The Netherlands. ...
Here
... (bottom) surface; i.e. there exists a domain wall between two adjacent plateaux of IQHE Such a domain wall will trap a chiral Fermi liquid which is responsible for the net Hall effect Note: in general there will also be other non-chiral states on this side surface; they are irrelevant since only one ...
... (bottom) surface; i.e. there exists a domain wall between two adjacent plateaux of IQHE Such a domain wall will trap a chiral Fermi liquid which is responsible for the net Hall effect Note: in general there will also be other non-chiral states on this side surface; they are irrelevant since only one ...
