Hypergroups and Quantum Bessel Processes of Non
... Bessel process is a classical Markov process living in a subset of the real plane. (Its transition probabilities are listed in Section 2, see (2.6)-(2.10).) Biane’s construction is based on a Gelfand pair associated with the Heisenberg group H, realized as H = Cd × R. Unsurprisingly, the integer par ...
... Bessel process is a classical Markov process living in a subset of the real plane. (Its transition probabilities are listed in Section 2, see (2.6)-(2.10).) Biane’s construction is based on a Gelfand pair associated with the Heisenberg group H, realized as H = Cd × R. Unsurprisingly, the integer par ...
Entanglement and Tensor Network States - cond
... of the state ρA be? Of course, the entropy of the entire ground state ρ will vanish, so S(ρ) = 0, it being a pure state, but this is not true for the entropy of reduced states. If the ground state is unique, so if it is a pure state, which we are assuming here, this entropy reflects the degree of en ...
... of the state ρA be? Of course, the entropy of the entire ground state ρ will vanish, so S(ρ) = 0, it being a pure state, but this is not true for the entropy of reduced states. If the ground state is unique, so if it is a pure state, which we are assuming here, this entropy reflects the degree of en ...
Mutually Unbiased bases: a brief survey
... The mathematical framework for Quantum Mechanics is a complex Hilbert space (usually of infinite dimension). Quantum information deals with systems of finite dimension, so the setting for this work will be a complex Hilbert space of dimension d, Cd . 1 The state of a quantum system is completely spe ...
... The mathematical framework for Quantum Mechanics is a complex Hilbert space (usually of infinite dimension). Quantum information deals with systems of finite dimension, so the setting for this work will be a complex Hilbert space of dimension d, Cd . 1 The state of a quantum system is completely spe ...
Powerpoint 7/20
... If we consider qubit 1 as one subsystem and qubits 2 and 3 as another subsystem, then the state is separable across this divide However, if we consider qubits 1 and 2 as one system and qubits 3 as one subsystem, then the state is entangled across this divide. ...
... If we consider qubit 1 as one subsystem and qubits 2 and 3 as another subsystem, then the state is separable across this divide However, if we consider qubits 1 and 2 as one system and qubits 3 as one subsystem, then the state is entangled across this divide. ...
Quantum field theory for matter under extreme conditions
... with the Lorentz transformations – rotations and boosts – and the four associated with translations. Quantum mechanics describes the time evolution of a system with interactions, and that evolution is generated by the Hamiltonian. However, if the theory is formulated with an interacting Hamiltonian ...
... with the Lorentz transformations – rotations and boosts – and the four associated with translations. Quantum mechanics describes the time evolution of a system with interactions, and that evolution is generated by the Hamiltonian. However, if the theory is formulated with an interacting Hamiltonian ...
“Anticoherent” Spin States via the Majorana Representation
... In the foregoing sections, we exhibited anticoherent states for all integral spin quantum numbers s ≥ 2. For s = 1/2, s = 1, and s = 3/2, it is possible to show that no anticoherent states exist.[13] In general, one expects anticoherent states to exist for all s ≥ 2, based on the following count of ...
... In the foregoing sections, we exhibited anticoherent states for all integral spin quantum numbers s ≥ 2. For s = 1/2, s = 1, and s = 3/2, it is possible to show that no anticoherent states exist.[13] In general, one expects anticoherent states to exist for all s ≥ 2, based on the following count of ...
LETTERS Generation of Fock states in a superconducting quantum circuit
... Spin systems and harmonic oscillators comprise two archetypes in quantum mechanics1. The spin-1/2 system, with two quantum energy levels, is essentially the most nonlinear system found in nature, whereas the harmonic oscillator represents the most linear, with an infinite number of evenly spaced qua ...
... Spin systems and harmonic oscillators comprise two archetypes in quantum mechanics1. The spin-1/2 system, with two quantum energy levels, is essentially the most nonlinear system found in nature, whereas the harmonic oscillator represents the most linear, with an infinite number of evenly spaced qua ...
Quantum Information Chapter 10. Quantum Shannon Theory
... is the entropy function. In this derivation we used the Stirling approximation in the appropriate form for natural logarithms. But from now on we will prefer to use logarithms with base 2, which is more convenient for expressing a quantity of information in bits; thus if no base is indicated, it wil ...
... is the entropy function. In this derivation we used the Stirling approximation in the appropriate form for natural logarithms. But from now on we will prefer to use logarithms with base 2, which is more convenient for expressing a quantity of information in bits; thus if no base is indicated, it wil ...
Quantum noise properties of multiphoton transitions in driven nonlinear resonators
... these amplifying devices mostly operate in the semiclassical regime where many quanta in the resonator are excited. This implies that pure quantum fluctuations are typically small on average. Nevertheless, some experiments have been realized at low temperature where the relevant fluctuations are qua ...
... these amplifying devices mostly operate in the semiclassical regime where many quanta in the resonator are excited. This implies that pure quantum fluctuations are typically small on average. Nevertheless, some experiments have been realized at low temperature where the relevant fluctuations are qua ...
C - UCSD CSE
... UCLA: first comprehensive methodology for PSM-aware layout design Approach: partition responsibility for phaseassignability – Type 1 : good layout practices (local geometry) – (open) problem: is there a set of “design rules” that guarantees phase-assignability of layout ? (no T’s, no doglegs, even f ...
... UCLA: first comprehensive methodology for PSM-aware layout design Approach: partition responsibility for phaseassignability – Type 1 : good layout practices (local geometry) – (open) problem: is there a set of “design rules” that guarantees phase-assignability of layout ? (no T’s, no doglegs, even f ...
Necessary and Sufficient Quantum Information Characterization of
... channel discrimination. In this sense, every entangled state, independently of how weakly entangled it is, is a resource. Nonetheless, exploiting such a resource may require arbitrary joint measurements on the output probe and ancilla [47]. From a conceptual perspective, one may want to limit measur ...
... channel discrimination. In this sense, every entangled state, independently of how weakly entangled it is, is a resource. Nonetheless, exploiting such a resource may require arbitrary joint measurements on the output probe and ancilla [47]. From a conceptual perspective, one may want to limit measur ...
Dynamics of the quantum Duffing oscillator in the driving induced q
... of the classical form of the response which is indicated by the dashed line. In the quantum case, clear resonances can be observed at particular values of the driving frequency. The resonances can be understood as discrete multiphoton transitions occurring when the Nth multiple of the field quantum ...
... of the classical form of the response which is indicated by the dashed line. In the quantum case, clear resonances can be observed at particular values of the driving frequency. The resonances can be understood as discrete multiphoton transitions occurring when the Nth multiple of the field quantum ...
Quantum Theories of Mind
... more waves we need to specify it.14 Since each wavelength is a different momentum, the more waves we need, the more possible values there are for a momentum measurement, which is trying to determine the wavelength. Conversely, the more accurate the wavelength or momentum, the less certain the positi ...
... more waves we need to specify it.14 Since each wavelength is a different momentum, the more waves we need, the more possible values there are for a momentum measurement, which is trying to determine the wavelength. Conversely, the more accurate the wavelength or momentum, the less certain the positi ...
Introduction to Spectral Theory of Schrödinger Operators
... J. von Neumann. Axiom 1.1. States of a quantum system are nonzero vectors of a complex separable Hilbert space H, considered up to a nonzero complex factor. There is a one-to-one correspondence between observable and linear self-adjoint operators in H. In what follows we consider states as unit vect ...
... J. von Neumann. Axiom 1.1. States of a quantum system are nonzero vectors of a complex separable Hilbert space H, considered up to a nonzero complex factor. There is a one-to-one correspondence between observable and linear self-adjoint operators in H. In what follows we consider states as unit vect ...
