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Are there basic laws of quantum information processing?
Are there basic laws of quantum information processing?

... of entanglement (in a bit weaker formulation than usual ones) are equivalent. We start with the following formulations 1. No-cloning theorem: There does not exist a quantum operation which clones every input pure state 3 . 2. No-creating 4 of entanglement principle: There does not exist an LCC opera ...
Time Symmetry and the Many-Worlds Interpretation - Philsci
Time Symmetry and the Many-Worlds Interpretation - Philsci

... passes the first beam splitter of a properly tuned Mach-Zehnder interferometer (MZI, see Figure 4), its description as a superposition of being in two separate locations is necessary to explain why it will end up with certainty in one output of the interferometer and not in the other. If, after the ...
Glassy Chimeras Could Be Blind to Quantum Speedup:
Glassy Chimeras Could Be Blind to Quantum Speedup:

... Note that spin glasses on two-dimensional square lattices have ν ≈ 3.45 [30]; i.e., spin glasses on the Chimera topology are close to two space dimensions. Interestingly, the phase transition to a spin-glass phase only occurs at zero temperature, despite the Chimera graph being nonplanar. Furthermor ...
Excerpt. - Dover Publications
Excerpt. - Dover Publications

... The outcome of the measurement of S45◦ for the electron, a spin-1/2 particle, may be either h̄/2 or −h̄/2; that√is, the eigenvalues are ±1, in units of h̄/2. This is different from (±1 ± 1)/ 2, which is what we would obtain if we applied the additivity postulate to the right-hand side of Eq. 10.5. T ...
Prime Factorization by Quantum Adiabatic Computation
Prime Factorization by Quantum Adiabatic Computation

http://www.york.ac.uk/depts/maths/histstat/normal_history.pdf
http://www.york.ac.uk/depts/maths/histstat/normal_history.pdf

... (2) J C Burkill and H Burkill, A Second Course in Mathematical Analysis, Cambridge: University Press 1970. (3) R Courant, Differential and Integral Calculus (2 volumes), London and Glasgow: Blackie 1934–6. (4) Copson, Theory of Functions of a Complex Variable, Oxford: Clarendon Press 1935. (5) A De ...
What classicality? Decoherence and Bohr`s classical concepts
What classicality? Decoherence and Bohr`s classical concepts

... confronts us with the “impossibility of any sharp separation between the behavior of atomic objects and the interaction with the measuring instruments which serve to define the very conditions under which the phenomena appear” [7, p. 210]. If the system and the measuring probe become an entangled qu ...
Introduction to Quantum Information
Introduction to Quantum Information

Computing prime factors with a Josephson phase qubit quantum
Computing prime factors with a Josephson phase qubit quantum

... FW = hW | ρW |Wi = 0.69 ± 0.01, which satisfies the entanglement witness inequality FW > 2/3 for three-qubit entanglement [28]. Generating either of these classes of entangled states (bi- and tri-partite) requires only a single entangling operation that is short relative to the characteristic time f ...
A Hierarchical Approach to Computer-Aided Design of
A Hierarchical Approach to Computer-Aided Design of

... qubit. These states can be a photon’s horizontal or vertical polarization denoted by |> or |>, or an elementary particle’s spin denoted by |> or |> for spin up and spin down, respectively. After encoding these distinguishable quantities into Boolean constants, a common notation for qubit states ...
Chapter 5 Center of Mass and Linear Momentum
Chapter 5 Center of Mass and Linear Momentum

... Center of Mass The center of mass of a system of n particles defined to be the point whose coordinates are given by ...
Supersymmetric Quantum Mechanics - Uwe
Supersymmetric Quantum Mechanics - Uwe

Fractionalization in an easy-axis Kagome antiferromagnet
Fractionalization in an easy-axis Kagome antiferromagnet

... ‘‘vison’’ can be understood as an unpaired vortex state in the vortex-pair condensate, a ‘‘dual’’ analog of a BCS quasiparticle. Further evidence that the ground state of this model might be fractionalized comes from its formal equivalence to a particular quantum dimer model. Mapping to a dimer mode ...
Notes on Functional Analysis in QM
Notes on Functional Analysis in QM

Floquet topological insulators Phys. Stat. Sol. Rap
Floquet topological insulators Phys. Stat. Sol. Rap

... spin, sublattice index, orbital index etc., and that couples with the orbital motion. In the following, this Hamiltonian can be either the full Hamiltonian (see Section 3.1), or alternatively it can be considered as one block of a 4-band time-reversal invariant insulator, the other block then being ...
A scheme for efficient quantum computation with linear optics
A scheme for efficient quantum computation with linear optics

SEGUNDO WORKSHOP INFORMACIÌN CUÊNTICA EN ESPAÑA
SEGUNDO WORKSHOP INFORMACIÌN CUÊNTICA EN ESPAÑA

... resource for quantum-enhanced atomic magnetometry [2]. More recently, we have developed techniques for squeezing all three spin components of an unpolarised sample of atoms. This generates a highly entangled macroscopic spin singlet (MSS) [3,4], analogous to the ground state of many fundamental spin ...
Non-Hermitian Hamiltonians of Lie algebraic type
Non-Hermitian Hamiltonians of Lie algebraic type

Gravitational quantum states of antihydrogen atoms as a tool for
Gravitational quantum states of antihydrogen atoms as a tool for

... Testing of the Weak Equivalence Principle (WEP) in a wide range of physical phenomena is of fundamental interest. The best test so far confirms WEP for macroscopic bodies to the accuracy of 2 · 10−13 (using a rotating torsion balance [1]). Ongoing projects aim at the accuracy of 1 part in1018 (in an ...
Reconstruction of Mature Theory Change: A Theory
Reconstruction of Mature Theory Change: A Theory

Fast Field Cycling NMR Relaxometry
Fast Field Cycling NMR Relaxometry

... elephants and whales), why don’t we build a magnetic room the size of Merrill Hall under a mountain somewhere with a strong uniform field in it? For the spin radiation testing, LMR would be perfect (though not indispensable) ...
Trajectory-Based Coulomb-Corrected Strong Field
Trajectory-Based Coulomb-Corrected Strong Field

Multiphoton population transfer between rovibrational states of HF: adiabatic
Multiphoton population transfer between rovibrational states of HF: adiabatic

Steven Simon
Steven Simon

Condensed Matter Physics as a Laboratory for Gravitation and
Condensed Matter Physics as a Laboratory for Gravitation and

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Scalar field theory

In theoretical physics, scalar field theory can refer to a classical or quantum theory of scalar fields. A scalar field is invariant under any Lorentz transformation.The only fundamental scalar quantum field that has been observed in nature is the Higgs field. However, scalar quantum fields feature in the effective field theory descriptions of many physical phenomena. An example is the pion, which is actually a pseudoscalar.Since they do not involve polarization complications, scalar fields are often the easiest to appreciate second quantization through. For this reason, scalar field theories are often used for purposes of introduction of novel concepts and techniques.The signature of the metric employed below is (+, −, −, −).
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