A short introduction to unitary 2-designs
... it satisfies some symmetries. Designs have existed in the mathematical world for hundreds of years. Many mathematical and physical structures, such as Latin squares, affine and projective planes, mutually unbiased bases, error correcting codes, and so much more, can be ultimately be shown to be some ...
... it satisfies some symmetries. Designs have existed in the mathematical world for hundreds of years. Many mathematical and physical structures, such as Latin squares, affine and projective planes, mutually unbiased bases, error correcting codes, and so much more, can be ultimately be shown to be some ...
Document
... We can combat the noise by selecting 2N[1 - H(q)] sufficiently different messages. More generally, a string of N symbols, each taking one of the values {ai}: Alice can produce about 2NH(A) likely messages. Each of these messages can produce 2NH(B|A) likely received strings. The number of of messages ...
... We can combat the noise by selecting 2N[1 - H(q)] sufficiently different messages. More generally, a string of N symbols, each taking one of the values {ai}: Alice can produce about 2NH(A) likely messages. Each of these messages can produce 2NH(B|A) likely received strings. The number of of messages ...
Collective potential for large-N Hamiltonian matrix models and free Fisher information
... of variables from matrix elements to invariants induces an extra term in the Hamiltonian, which is crucial in determining the ground state. We find that this collective potential has a natural meaning in terms of noncommutative probability theory: it is the “free Fisher information” discovered by Vo ...
... of variables from matrix elements to invariants induces an extra term in the Hamiltonian, which is crucial in determining the ground state. We find that this collective potential has a natural meaning in terms of noncommutative probability theory: it is the “free Fisher information” discovered by Vo ...
Iizuka-11-11-09
... So the question we would like to understand; Can we see the non-unitary black hole physics from unitary (at finite N) gauge theory, by taking N =∞? Black hole is characterized by its horizon, where classically all information is incoming, and lost BH horizon makes all information (ie, correla ...
... So the question we would like to understand; Can we see the non-unitary black hole physics from unitary (at finite N) gauge theory, by taking N =∞? Black hole is characterized by its horizon, where classically all information is incoming, and lost BH horizon makes all information (ie, correla ...
Edge states and integer quantum Hall effect in topological insulator
... to the thin film, the LL energies or edge states near one edge of the system, and the corresponding patterns of the quantum Hall conductance. In the absence of SIA, i.e., V = 0, four possible typical cases are shown in Fig. 2. Case (i) is for a thick film, i.e., Δ = B = 0. In the bulk, the LLs o ...
... to the thin film, the LL energies or edge states near one edge of the system, and the corresponding patterns of the quantum Hall conductance. In the absence of SIA, i.e., V = 0, four possible typical cases are shown in Fig. 2. Case (i) is for a thick film, i.e., Δ = B = 0. In the bulk, the LLs o ...
Quantum Computation by Adiabatic Evolution Edward Farhi, Jeffrey Goldstone Sam Gutmann
... where each HCa depends only on clause Ca and acts only on the bits in Ca . H(t) is defined for t between 0 and T and is slowly varying. The initial state, which is always the same and easy to construct, is the ground state of H(0). For each a, the ground state of HCa (T ) encodes the satisfying assi ...
... where each HCa depends only on clause Ca and acts only on the bits in Ca . H(t) is defined for t between 0 and T and is slowly varying. The initial state, which is always the same and easy to construct, is the ground state of H(0). For each a, the ground state of HCa (T ) encodes the satisfying assi ...
Chapter 5 Wave Mechanics
... How are we to interpret this wave function? Superficially, it is seen to be made up of two wave functions associated with the particle having energies E1 and E2 . These wave functions contribute equally to the total wave function Ψ(x, t) in the sense that they both have the same amplitude, so it is ...
... How are we to interpret this wave function? Superficially, it is seen to be made up of two wave functions associated with the particle having energies E1 and E2 . These wave functions contribute equally to the total wave function Ψ(x, t) in the sense that they both have the same amplitude, so it is ...
Direct Characterization of Quantum Dynamics: General Theory
... scale with system size. Moreover, one would like to understand whether entanglement plays a fundamental role, and what potential applications emerge from such a theory linking QPT and QED. Finally, one would hope that this approach may lead to new ways of understanding and/or controlling quantum dyn ...
... scale with system size. Moreover, one would like to understand whether entanglement plays a fundamental role, and what potential applications emerge from such a theory linking QPT and QED. Finally, one would hope that this approach may lead to new ways of understanding and/or controlling quantum dyn ...
![arXiv:1310.3262v1 [quant-ph] 11 Oct 2013](http://s1.studyres.com/store/data/017897146_1-7f44e165f08f900df74f4825be2ca4f2-300x300.png)
arXiv:1310.3262v1 [quant-ph] 11 Oct 2013
... Oblivious transfer is a two-party primitive in which Alice begins with a choice bit a ∈ {0, 1} and Bob begins with two data bits x0 , x1 ∈ {0, 1}. The security goals are: 1. Completeness: If both parties are honest then Alice learns the value of xa and neither party aborts. 2. Soundness against chea ...
... Oblivious transfer is a two-party primitive in which Alice begins with a choice bit a ∈ {0, 1} and Bob begins with two data bits x0 , x1 ∈ {0, 1}. The security goals are: 1. Completeness: If both parties are honest then Alice learns the value of xa and neither party aborts. 2. Soundness against chea ...
Low-Temperature Phase Diagrams of Quantum Lattice
... the long range order, characterizing the groundstate of HΛ (t), survives at lowtemperatures, with a bound on the critical temperature which depends on t. In Section 5 we also study the less-easy-to-treat phase diagram of the antiferromagnetic regime (J < 0). Further examples are presented in [11]. T ...
... the long range order, characterizing the groundstate of HΛ (t), survives at lowtemperatures, with a bound on the critical temperature which depends on t. In Section 5 we also study the less-easy-to-treat phase diagram of the antiferromagnetic regime (J < 0). Further examples are presented in [11]. T ...
Gauge Field Theories Second Edition - Assets
... All fundamental laws of physics can be understood inR terms of Ra mathematical construct: the action. An ansatz for the action S = dt L = d4 x L can be regarded as a formulation of a theory. In classical field theory the lagrangian density L is a function of fields 8 and their derivatives. In genera ...
... All fundamental laws of physics can be understood inR terms of Ra mathematical construct: the action. An ansatz for the action S = dt L = d4 x L can be regarded as a formulation of a theory. In classical field theory the lagrangian density L is a function of fields 8 and their derivatives. In genera ...
NanoTrapS: Trapped nanoparticles for space experiments
... established quantum theory. Progress in experimental quantum optics in particular in the coherent manipulation of atoms [19], clusters and molecules [35, 39] but also in the preparation of cold nanoparticles [4, 26, 44, 45] is spurring hope that interferometry with particles in the mass range betwee ...
... established quantum theory. Progress in experimental quantum optics in particular in the coherent manipulation of atoms [19], clusters and molecules [35, 39] but also in the preparation of cold nanoparticles [4, 26, 44, 45] is spurring hope that interferometry with particles in the mass range betwee ...
1 Detailing Coherent , Minimum Uncertainty States of Gravitons, as
... parameters, such as h , G, and the fine structure constant. α arose, and may have been recycled from a prior universe. .Details about this have to be worked out, and this because that as of present one of the few tools which is left to formulation and proof of the singularity theorems is the Raychau ...
... parameters, such as h , G, and the fine structure constant. α arose, and may have been recycled from a prior universe. .Details about this have to be worked out, and this because that as of present one of the few tools which is left to formulation and proof of the singularity theorems is the Raychau ...
