Introduction to Group Field Theory
... GFT Hilbert space No embedding in a continuum manifold and no cylindrical consistency imposed. Instead: Fock construction through decomposition of spin network states in terms of elementary building blocks. ...
... GFT Hilbert space No embedding in a continuum manifold and no cylindrical consistency imposed. Instead: Fock construction through decomposition of spin network states in terms of elementary building blocks. ...
Decoherence in Solid State Qubits
... Interaction of solid state qubits with environmental degrees of freedom strongly affects the qubit dynamics, and leads to decoherence. In quantum information processing with solid state qubits, decoherence significantly limits the performances of such devices. Therefore, it is necessary to fully und ...
... Interaction of solid state qubits with environmental degrees of freedom strongly affects the qubit dynamics, and leads to decoherence. In quantum information processing with solid state qubits, decoherence significantly limits the performances of such devices. Therefore, it is necessary to fully und ...
A Glimpse into Symplectic Geometry
... topology. • Darboux’s theorem says that locally all symplectic spaces are the same. Thus the only invariants that distinguish one symplectic space from another are global. On the other hand, the lack of local invariants makes it possible for there to be many automorphisms of the local structure. Ind ...
... topology. • Darboux’s theorem says that locally all symplectic spaces are the same. Thus the only invariants that distinguish one symplectic space from another are global. On the other hand, the lack of local invariants makes it possible for there to be many automorphisms of the local structure. Ind ...
Programmable architecture for quantum computing Jialin Chen, Lingli Wang, Edoardo Charbon,
... transformation can be exactly realized if the set of single-qubit operation plus CNOT are allowed as elementary gates [21]. We note that quantum gate arrays in the literature [22,23] are generally based on some matrix decompositions such as QR decompositions [24], CS decomposition [25], QS decomposi ...
... transformation can be exactly realized if the set of single-qubit operation plus CNOT are allowed as elementary gates [21]. We note that quantum gate arrays in the literature [22,23] are generally based on some matrix decompositions such as QR decompositions [24], CS decomposition [25], QS decomposi ...
Single-exciton spectroscopy of single Mn doped InAs quantum dots
... and by single exciton spectroscopy in semiconductor quantum dots,6–8 among other techniques. These experiments permit addressing a single-quantum object: the spin of the magnetic atom, and studying its exchange interactions with surrounding carriers. Quantum dots doped with a single magnetic atom ar ...
... and by single exciton spectroscopy in semiconductor quantum dots,6–8 among other techniques. These experiments permit addressing a single-quantum object: the spin of the magnetic atom, and studying its exchange interactions with surrounding carriers. Quantum dots doped with a single magnetic atom ar ...
Quantum tomography via compressed sensing: error bounds, sample complexity and... estimators
... This approach is convenient because it does not require detailed knowledge about the system. However, note that when such knowledge is available, one can use alternative formulations of compressed tomography, with different notions of sparsity, to further reduce the dimensionality of the problem [19 ...
... This approach is convenient because it does not require detailed knowledge about the system. However, note that when such knowledge is available, one can use alternative formulations of compressed tomography, with different notions of sparsity, to further reduce the dimensionality of the problem [19 ...
Multiverse or Universe, after all
... “If a photon is deflected, it must have been deflected by something, and I have called that thing a ‘shadow photon’.” (p. 49). In Chapter 4 of The Fabric of Reality, titled “Criteria for Reality”, Deutsch postulates two main criteria: 1. the ability of something to “kick back”; 2. complexity of some ...
... “If a photon is deflected, it must have been deflected by something, and I have called that thing a ‘shadow photon’.” (p. 49). In Chapter 4 of The Fabric of Reality, titled “Criteria for Reality”, Deutsch postulates two main criteria: 1. the ability of something to “kick back”; 2. complexity of some ...
Path-memory induced quantization of classical orbits
... longer as hysteresis increases. Limiting ourselves to the observed plateaus we find that the radii are located on the same steps when they are rescaled by the Faraday wavelength Rn ∕λF and plotted as a function of ðV W ∕2ΩλF Þ1∕2 (see Fig. 2C). Let us now look for an analogy between the discretizati ...
... longer as hysteresis increases. Limiting ourselves to the observed plateaus we find that the radii are located on the same steps when they are rescaled by the Faraday wavelength Rn ∕λF and plotted as a function of ðV W ∕2ΩλF Þ1∕2 (see Fig. 2C). Let us now look for an analogy between the discretizati ...
Implementing Qubits with Superconducting Integrated Circuits Michel H. Devoret and John M. Martinis
... the capacitor must be represented by a wave function giving the probability amplitude of all charge configurations. For example, the charge on the capacitor can be in a superposition of states where the charge is both positive and negative at the same time. Similarly the current in a loop might be flo ...
... the capacitor must be represented by a wave function giving the probability amplitude of all charge configurations. For example, the charge on the capacitor can be in a superposition of states where the charge is both positive and negative at the same time. Similarly the current in a loop might be flo ...
Fractionally charged impurity states of a fractional quantum Hall system
... e.g. s- or d-wave. Similarly, a fractional quantum Hall (FQH) system can support exotic quasiparticles that carry a fractional charge. These quasi-particles, predicted by Laughlin [3], were first observed in the nonequilibrium shot-noise of the current carrying FQH edge states [4]. More recently, ex ...
... e.g. s- or d-wave. Similarly, a fractional quantum Hall (FQH) system can support exotic quasiparticles that carry a fractional charge. These quasi-particles, predicted by Laughlin [3], were first observed in the nonequilibrium shot-noise of the current carrying FQH edge states [4]. More recently, ex ...
Physics at the FQMT`04 conference
... objects of experiments. In addition, discussions about macroscopic quantum effects and possible interference of macroscopically distinct states also contributed to a new emerging view of thermodynamics. The question emerged under which conditions the thermodynamic behaviour still manifests. And, of ...
... objects of experiments. In addition, discussions about macroscopic quantum effects and possible interference of macroscopically distinct states also contributed to a new emerging view of thermodynamics. The question emerged under which conditions the thermodynamic behaviour still manifests. And, of ...
WORMHOLES WITH A PAST* 1. Introduction Although as physicists
... An essential feature of our discussion is that T(E) is real. Note that the packet emerges from the barrier (x -- b(Eo) ) at time t = 0, the same time as it entered the classically forbidden region. We have assumed that the initial and final states are described by narrow wave packets with the same p ...
... An essential feature of our discussion is that T(E) is real. Note that the packet emerges from the barrier (x -- b(Eo) ) at time t = 0, the same time as it entered the classically forbidden region. We have assumed that the initial and final states are described by narrow wave packets with the same p ...
Ultracold Atoms in Artificial Gauge Fields by Tobias Graß PhD Thesis
... The pioneering 2002 experiment realized the Bose-Hubbard model [8], in which bosonic particles hop between neighboring sites of a hypercubic lattice, and interact locally on each site. The model describes a competition between these two processes, whose energies are quantified by the hopping amplitu ...
... The pioneering 2002 experiment realized the Bose-Hubbard model [8], in which bosonic particles hop between neighboring sites of a hypercubic lattice, and interact locally on each site. The model describes a competition between these two processes, whose energies are quantified by the hopping amplitu ...
New Spin-Orbit-Induced Universality Class in the Integer Quantum Hall Regime
... In order to determine whether this variation of L E is due, indeed, to a different critical behavior, we carry out the usual scaling analysis—evaluate L E for different L’s, and collapse all the data onto a single plot after scaling the system size by (the L ! 1 localization length), by sett ...
... In order to determine whether this variation of L E is due, indeed, to a different critical behavior, we carry out the usual scaling analysis—evaluate L E for different L’s, and collapse all the data onto a single plot after scaling the system size by (the L ! 1 localization length), by sett ...