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A class of quantum many-body states that can be efficiently simulated
A class of quantum many-body states that can be efficiently simulated

... include algorithms to compute the ground and thermal states, and to simulate time evolution. For instance, in order to update M after the action of a unitary gate V [s1 s2 ] on sites s1 and s2 , only the tensors in the causal cone C [s1 s2 ] need to be modified, with a cost logarithmic in N . On the ...
PDF
PDF

... interpretation. And, he continues, the ignorance interpretation of mixtures equivocates on the nature of quantum states, as expressed by means of the statistical operator formalism: A quantum mixed state so expressed should not be thought of as an ensemble of pure states, but as a set of probability ...
Chapter 2
Chapter 2

... If b>2mω0, the medium is highly viscous. x The system does not oscillate but simply returns to its equilibrium position. overdamped ...
Interaction-based nonlinear quantum metrology with a cold atomic ensemble
Interaction-based nonlinear quantum metrology with a cold atomic ensemble

2 Quantum Theory of Spin Waves
2 Quantum Theory of Spin Waves

Magnetotransport in 2DEG
Magnetotransport in 2DEG

... The levels are degenerate since the energy of 2DEG depends only on one variable, n. Number of states per unit area per level is ...
Polynomial-Time Algorithms for Prime Factorization and Discrete
Polynomial-Time Algorithms for Prime Factorization and Discrete

... than a classical computer, then in order to understand its potential it is important to think of precision as a resource that can vary. Treating the precision as a large constant (even though it is almost certain to be constant for any given machine) would be comparable to treating a classical digit ...
Lecture Notes on Quantum Brownian Motion
Lecture Notes on Quantum Brownian Motion

... molecular nature of gases and fluids in contrast to their more intuitive continuous description. Nowadays we can easily accept that gases and fluids on large scales (starting from micrometer scales and above – these are called macroscopic scales) can be characterized by continuous density functions, ...
How to hide a secret direction
How to hide a secret direction

... of N. The action of general unitaries on qubits is the same as that of the physical rotations on spin-1/2 systems. Hence, all the results regarding the fidelity of a state estimation protocol under collective, local fixed and local adaptive measurements can be applied in the context of direction est ...
Document
Document

... A quantum computer engineer needs to detect this entanglement as a way to benchmark or debug the processor. ...
Isotropic restriction in Group Field Theory condensates
Isotropic restriction in Group Field Theory condensates

... Their spatial relation is determined by the connectivity of the s-knot, whereas areas and volumes are determined by the coloring of the s-knot. Quantum dynamics. Hinv is the Hilbert space of states that are invariant under space diffeomorphisms and SU(2) gauge transformations. Their quantum dynamics ...
atom interferometer - Center for Ultracold Atoms
atom interferometer - Center for Ultracold Atoms

... Ratio pols of all alkali (Rotations using vel multiplexing) ...
Third-order optical response of intermediate
Third-order optical response of intermediate

... 3. APPLICATION TO INTERMEDIATE EXCITONS The GFE for the optical response contains the contributions of all types of particle states, including free electron – hole pairs, weakly interacting pairs, or bound pairs known as excitons. In this section we project these equations into the exciton subspace. ...
Document
Document

... columns of HA Hamming matrix) • Not all allowed stabilizer circuits are generated because it is not a power of 2 number (configuration state is hard to generate) ...
Dyson equation for diffractive scattering
Dyson equation for diffractive scattering

... from spawning of classical paths due to diffractive 共i.e., nongeometric兲 reflections in the lead mouths 共or point contacts兲. Pseudopaths play an essential role when incorporating indeterministic features into the semiclassical description of ...
Quantum Mechanical Addition of Angular Momenta and Spin
Quantum Mechanical Addition of Angular Momenta and Spin

2012) all (F I
2012) all (F I

Ch17 Oscillations
Ch17 Oscillations

... plane, the reference line op will move to the OQ, and the wire oo’ will be twisted. The twisted wire will exert a restoring torque on the disk, tending to return the system to its equilibrium. ...
Gravity as a fluid dynamic phenomenon in a superfluid
Gravity as a fluid dynamic phenomenon in a superfluid

... Here we move further and we hypothesize that these particles are superuid symmetric vortices of those quanta constituting the cosmic superuid (probably dark energy). Because of superuidity, these vortices can have an indeterminately long life. Vorticity is interpreted as spin (a particle's intern ...
Linear Logic for Generalized Quantum Mechanics
Linear Logic for Generalized Quantum Mechanics

The Kitaev chain: theoretical model and experiments
The Kitaev chain: theoretical model and experiments

... Two basic realizations of the Kitaev chain exist. One is based on quantum wires made of a semiconductor with strong spin–orbit coupling such as InSb or InAs, and the other employs a 3D topological insulator. In both cases, superconductivity in the wire is induced by the proximity effect of the hetero ...
Lindblad driving for nonequilibrium steady
Lindblad driving for nonequilibrium steady

... The standard tool for describing nonequilibrium steady-state transport through a quantum system coupled to two leads with different chemical potentials is the Keldysh formalism [1]. However, when the quantum system is interacting, the treatment of interactions within the Keldysh formalism is difficu ...
Design of Strongly Modulating Pulses to Implement Precise Effective
Design of Strongly Modulating Pulses to Implement Precise Effective

... to date have the disadvantage that low power implies long duration. This not only introduces errors due to relaxation, or decoherence, but also allows significant evolution under the action of the internal Hamiltonian. In the past, this evolution was rarely of concern because there was little import ...
Ph. D. thesis Quantum Phase Transitions in Correlated Systems
Ph. D. thesis Quantum Phase Transitions in Correlated Systems

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Coherent states

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