Entanglement Spectrum MIT 2016
... For topologically trivial systems (AKLT, Heisenberg models): entanglement spectrum matches the energies of a local Hamiltonian on boundary For topological systems (Toric code): needs non-local Hamiltonian ...
... For topologically trivial systems (AKLT, Heisenberg models): entanglement spectrum matches the energies of a local Hamiltonian on boundary For topological systems (Toric code): needs non-local Hamiltonian ...
Group Theory
... ( e -il (G) together with the so-called multiplicity index w : 1,2, ...,m(redl(), and finally the row index a : 1 , 2 , . . . , n ( 9 , o f t h e G u n i r r e p D ( ( G ) h a v et o b e taken into account. This nonsymmetrical indexing is common to all types of similarity matrices, for instance, sub ...
... ( e -il (G) together with the so-called multiplicity index w : 1,2, ...,m(redl(), and finally the row index a : 1 , 2 , . . . , n ( 9 , o f t h e G u n i r r e p D ( ( G ) h a v et o b e taken into account. This nonsymmetrical indexing is common to all types of similarity matrices, for instance, sub ...
chapter-11 quantum entanglement
... that is, if AB≠BA, then the precise knowledge of one of them precludes such a knowledge of the other. Furthermore, any attempt to determine the latter experimentally will alter the state of the system in such a way as to destroy the knowledge of the first. ...
... that is, if AB≠BA, then the precise knowledge of one of them precludes such a knowledge of the other. Furthermore, any attempt to determine the latter experimentally will alter the state of the system in such a way as to destroy the knowledge of the first. ...
Experimental Optimal Cloning of Four
... q plate, a PBS (only for bases I, II, and III), and additional wave plates (see Ref. [22] for details). On mode ka , for quantum cloning the ancilla photon is prepared in a fully mixed state a ¼ I2 I2o2 , i.e., fully randomized both in polarization and in OAM. This is obtained by randomly rotating ...
... q plate, a PBS (only for bases I, II, and III), and additional wave plates (see Ref. [22] for details). On mode ka , for quantum cloning the ancilla photon is prepared in a fully mixed state a ¼ I2 I2o2 , i.e., fully randomized both in polarization and in OAM. This is obtained by randomly rotating ...
Quantum Mechanics as Complex Probability Theory
... about a system, they may also describe a single system with di erent wavefunctions. This also implies that if an observer does not know all the relevant facts about a system, the corresponding wavefunction may give incorrect predictions. This, however, is not a failure of quantum theory any more th ...
... about a system, they may also describe a single system with di erent wavefunctions. This also implies that if an observer does not know all the relevant facts about a system, the corresponding wavefunction may give incorrect predictions. This, however, is not a failure of quantum theory any more th ...
The Consistent Histories Interpretation of Quantum Mechanics
... decoherence, or a stricter condition such as strong decoherence, is a necessary condition for the emergence of a quasiclassical order. It is far from a sufficient condition. The order represented in classical physics presupposes deterministic laws obtaining over vast stretches of time and space. The ...
... decoherence, or a stricter condition such as strong decoherence, is a necessary condition for the emergence of a quasiclassical order. It is far from a sufficient condition. The order represented in classical physics presupposes deterministic laws obtaining over vast stretches of time and space. The ...
... thus can be characterised by single values of their spectral densities. However, it is instructive to introduce characteristic frequencies thereof, where displacement spectrums intersect the standard quantum limit (SQL) as a benchmark: ΩF ≡ [2mκm kB T /(¯hm)]1/2 , Ωq ≡ [α 2 /(¯hm)]1/2 , and Ωx ≡ Ωq ...
A Post Processing Method for Quantum Prime Factorization
... C. In fact for storing a data we need a larger space than a qubit therefore we need some quantum registers. A quantum register with size n can store 2n number simultaneously so we need a large space of memory in the classic computer, in this reason I made a class named QuRg. In QuRg variable we must ...
... C. In fact for storing a data we need a larger space than a qubit therefore we need some quantum registers. A quantum register with size n can store 2n number simultaneously so we need a large space of memory in the classic computer, in this reason I made a class named QuRg. In QuRg variable we must ...
Quantum Error-Correction Codes on Abelian Groups
... and the ones she sends to Bob. If Alice wants to measure her remaining qubits according to the check matrix for CSSG (C1 , C2 ), she obtains random values for x and z, and if she wants to measure the m EPR pair in the standard basis, she obtains a random choice of v. Then the remaining n qubits are ...
... and the ones she sends to Bob. If Alice wants to measure her remaining qubits according to the check matrix for CSSG (C1 , C2 ), she obtains random values for x and z, and if she wants to measure the m EPR pair in the standard basis, she obtains a random choice of v. Then the remaining n qubits are ...
Solid state Stern-Gerlach spin-splitter for magnetic field sensoring
... ficient to make the four parameters α, β1 , β2 and β3 independent of each other. Moreover, when all these four parameters can be chosen independently, it is possible to express any U (2)-matrix using Eq. (5) [17]. Thus, it is possible to implement any unitary single-qubit gate, and in particular any ...
... ficient to make the four parameters α, β1 , β2 and β3 independent of each other. Moreover, when all these four parameters can be chosen independently, it is possible to express any U (2)-matrix using Eq. (5) [17]. Thus, it is possible to implement any unitary single-qubit gate, and in particular any ...
Photonic Communications and Quantum Information Storage
... 2/ln 2 bits/qubit, i.e., 1 qubit = 2 nats = 2/ln 2 bits! Finally, it is shown that error-free quantum communications can be asymptotically approached in a wideband pristine environment using a minimum of 0.345 photons per bit or one photon per qubit. In a low temperature environment, it is shown tha ...
... 2/ln 2 bits/qubit, i.e., 1 qubit = 2 nats = 2/ln 2 bits! Finally, it is shown that error-free quantum communications can be asymptotically approached in a wideband pristine environment using a minimum of 0.345 photons per bit or one photon per qubit. In a low temperature environment, it is shown tha ...
PDF
... reach the bound do exist. However, their ensemble realizations are either mixtures of entangled configurations or mixtures of energy-asymmetric configurations: more precisely, each separable ...
... reach the bound do exist. However, their ensemble realizations are either mixtures of entangled configurations or mixtures of energy-asymmetric configurations: more precisely, each separable ...
Слайд 1 - I C R A
... topologically non-trivial universe we would be able to construct a gauge-invariant theory. We have no grounds at all to require for a wave function to satisfy the Wheeler − DeWitt equation. At the same time, independently on our notion about gauge invariance or noninvariance of the theory, the wave ...
... topologically non-trivial universe we would be able to construct a gauge-invariant theory. We have no grounds at all to require for a wave function to satisfy the Wheeler − DeWitt equation. At the same time, independently on our notion about gauge invariance or noninvariance of the theory, the wave ...
