Geometric phases in quantum systems of pure and mixed state
... The Creutz ladder formation. Particles can hop both diagonally and vertically. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . [33] The Topological Uhlmann phase for the Creutz-ladder (a), the Majorana-chain model (b) and the SSH-model(c). The topological phase is equal to π inside the gre ...
... The Creutz ladder formation. Particles can hop both diagonally and vertically. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . [33] The Topological Uhlmann phase for the Creutz-ladder (a), the Majorana-chain model (b) and the SSH-model(c). The topological phase is equal to π inside the gre ...
Long distance coupling of a quantum mechanical oscillator to the
... is challenged through two limitations: firstly, the requirement of resonant coupling limits the frequency of the mechanical oscillator to the maximal trap frequency achievable in optical lattices, that is, to the sub-MHz regime. Secondly, while motional states of individual atoms in optical lattices ...
... is challenged through two limitations: firstly, the requirement of resonant coupling limits the frequency of the mechanical oscillator to the maximal trap frequency achievable in optical lattices, that is, to the sub-MHz regime. Secondly, while motional states of individual atoms in optical lattices ...
QUANTUM COMPUTING: AN OVERVIEW
... of A: A|λi = λi |λi . Consider a superposition state c1 |λ1 + c2 |λ2 . If we measure a in this state, the state undergoes an abrupt change (wave function collapse) to one of the eigenstates |λi corresponding to the observed eigenvalue λi . Suppose we prepare many copies of the state c1 |λ1 ...
... of A: A|λi = λi |λi . Consider a superposition state c1 |λ1 + c2 |λ2 . If we measure a in this state, the state undergoes an abrupt change (wave function collapse) to one of the eigenstates |λi corresponding to the observed eigenvalue λi . Suppose we prepare many copies of the state c1 |λ1 ...
Unifying Classical and Quantum Key Distillation
... In information-theoretic cryptography, where no assumptions on the adversary’s resources6 are made, distributing keys between distant parties is impossible if only public classical communication channels are available [1, 2]. However, this situation changes dramatically if the parties have access t ...
... In information-theoretic cryptography, where no assumptions on the adversary’s resources6 are made, distributing keys between distant parties is impossible if only public classical communication channels are available [1, 2]. However, this situation changes dramatically if the parties have access t ...
Introduction to Quantum Entanglement
... Theorem 3 ([4, 6]) Let ρ be a density operator acting on Hilbert space HA ⊗HB . Then ρ is separable if and only if for any positive map Λ ∈ L(B(HA ), B(HB )) the operator (1l ⊗ Λ)(ρ) is positive. Suppose that Λ is a transposition operator such that Λ(σ) = σ T . Hence (1l ⊗ Λ)(ρ) = ρTB and ρ is entan ...
... Theorem 3 ([4, 6]) Let ρ be a density operator acting on Hilbert space HA ⊗HB . Then ρ is separable if and only if for any positive map Λ ∈ L(B(HA ), B(HB )) the operator (1l ⊗ Λ)(ρ) is positive. Suppose that Λ is a transposition operator such that Λ(σ) = σ T . Hence (1l ⊗ Λ)(ρ) = ρTB and ρ is entan ...
Polynomial-Time Algorithms for Prime Factorization and Discrete
... simulated by a Turing machine in a number of steps polynomial in the resources used by the computing device. Readers who are not comfortable with Turing machines may think instead of digital computers that have an amount of memory that grows linearly with the length of the computation, as these two ...
... simulated by a Turing machine in a number of steps polynomial in the resources used by the computing device. Readers who are not comfortable with Turing machines may think instead of digital computers that have an amount of memory that grows linearly with the length of the computation, as these two ...
B 0
... I. Motivation: Quantum OR Classical Gravity (Geometrical Backgrounds in Early Universe) may violate fundamental space-time symmetries: either continuous (Lorentz (LV)) or discrete (T & CPT (CPTV)) and/or induced decoherence of quantum matter Parametrization: Standard Model Extension (SME) and beyond ...
... I. Motivation: Quantum OR Classical Gravity (Geometrical Backgrounds in Early Universe) may violate fundamental space-time symmetries: either continuous (Lorentz (LV)) or discrete (T & CPT (CPTV)) and/or induced decoherence of quantum matter Parametrization: Standard Model Extension (SME) and beyond ...
Real, Complex, and Binary Semantic Vectors
... This section owes much to the theoretical framework of Kanerva’s hyperdimensional computing [7], and the experimental implementation and notation used in [19]. Some of the core concepts are from the literature on Vector Symbolic Architectures (see [9,12,11] and others). Please refer to these papers ...
... This section owes much to the theoretical framework of Kanerva’s hyperdimensional computing [7], and the experimental implementation and notation used in [19]. Some of the core concepts are from the literature on Vector Symbolic Architectures (see [9,12,11] and others). Please refer to these papers ...
Linear and non-linear response phenomena of molecular systems
... that we look at. For example, in an optical absorption experiment, we apply light (the external perturbation) and we look at the light that comes back from the system (the response). In this particular case both correspond to the same type of perturbation, but this does not have to be the case, we m ...
... that we look at. For example, in an optical absorption experiment, we apply light (the external perturbation) and we look at the light that comes back from the system (the response). In this particular case both correspond to the same type of perturbation, but this does not have to be the case, we m ...
Overture - Center for Nonlinear Science
... The appellation ‘chaos’ is a confusing misnomer, as in deterministic dynamics there is no chaos in the everyday sense of the word; everything proceeds mathematically–that is, as Baron Leibniz would have it, infallibly. When a physicist says that a certain system exhibits ‘chaos,’ he means that the s ...
... The appellation ‘chaos’ is a confusing misnomer, as in deterministic dynamics there is no chaos in the everyday sense of the word; everything proceeds mathematically–that is, as Baron Leibniz would have it, infallibly. When a physicist says that a certain system exhibits ‘chaos,’ he means that the s ...
Charles Olson and the Quest for a Quantum Poetics
... the work of Auden and Creeley, other poets developed even closer ties to the physicist's work. Archibald MacLeish's long poem “Einstein,” for instance, sustains an extensive meditation on relativity. Louis Zukofsky translated a popular biography of Einstein and discussed the physicist's work in his ...
... the work of Auden and Creeley, other poets developed even closer ties to the physicist's work. Archibald MacLeish's long poem “Einstein,” for instance, sustains an extensive meditation on relativity. Louis Zukofsky translated a popular biography of Einstein and discussed the physicist's work in his ...
Holographic Quantum Error Correcting Codes - Adrian Franco
... is a rank-one projector on the one-dimensional subspace generated by |ψi. Depending on what system we are dealing with, the space of states will have different aspect. For example, if we consider a particle which can move in one dimension, its space of states is spanned by the states {|xi}x∈R , wher ...
... is a rank-one projector on the one-dimensional subspace generated by |ψi. Depending on what system we are dealing with, the space of states will have different aspect. For example, if we consider a particle which can move in one dimension, its space of states is spanned by the states {|xi}x∈R , wher ...