generalized numerical ranges and quantum error correction
... S(H) such that span { I, A1 , A2 , A3 } has dimension 4, there is always an A4 ∈ S(H) for which Λ1 ( A1 , . . . , A4 ) is not convex. In the following, we show that Λk (A) is always star-shaped if dim H is sufficiently large. Moreover, it always contains the convex hull of Λk̂ (A) for k̂ = (m + 2)k. ...
... S(H) such that span { I, A1 , A2 , A3 } has dimension 4, there is always an A4 ∈ S(H) for which Λ1 ( A1 , . . . , A4 ) is not convex. In the following, we show that Λk (A) is always star-shaped if dim H is sufficiently large. Moreover, it always contains the convex hull of Λk̂ (A) for k̂ = (m + 2)k. ...
Quantum Theories of Mind
... crests. Where crests cancel toughs, a The Old Quantum Theory Quantum theory began in dark band is observed as at the right. 1900 when Max Planck (1858-1947) solved a problem that had baffled classical physics, the color spectrum of black body radiation. (Black body radiation is the light emitted fro ...
... crests. Where crests cancel toughs, a The Old Quantum Theory Quantum theory began in dark band is observed as at the right. 1900 when Max Planck (1858-1947) solved a problem that had baffled classical physics, the color spectrum of black body radiation. (Black body radiation is the light emitted fro ...
College 10: Quantum computing
... Two independent qubits α0 |0i + α1 |1i and β0 |0i + β1 |1i can be described by: α0 ·β0 |00i + α0 ·β1 |01i + α1 ·β0 |10i + α1 ·β1 |11i ...
... Two independent qubits α0 |0i + α1 |1i and β0 |0i + β1 |1i can be described by: α0 ·β0 |00i + α0 ·β1 |01i + α1 ·β0 |10i + α1 ·β1 |11i ...
Quantum electrodynamic Aharonov
... potential in this case is treated as a classical and static variable. Interestingly, there is no fundamental reason to limit this force-free quantum effect to the case of a static and classical external potential. That is, a charge may interact with a potential produced by a quantized electromagneti ...
... potential in this case is treated as a classical and static variable. Interestingly, there is no fundamental reason to limit this force-free quantum effect to the case of a static and classical external potential. That is, a charge may interact with a potential produced by a quantized electromagneti ...
THE ENERGY IN VIRTUE OF THE PRINCIPLE OF
... current universe, but it would represent only the continuation of a previous state. The previous universe at first would have split up during big bang to create our embryonic universe and this process would continue throughout our expansion (which is at the same time the uncompleted process of contr ...
... current universe, but it would represent only the continuation of a previous state. The previous universe at first would have split up during big bang to create our embryonic universe and this process would continue throughout our expansion (which is at the same time the uncompleted process of contr ...
The Physical Implementation of Quantum Computation David P. DiVincenzo
... A qubit being “well characterized” means several different things. Its physical parameters should be accurately known, including the internal Hamiltonian of the qubit (which determines the energy eigenstates of the qubit, which are often, although not always, taken as the |0i and |1i states), the pr ...
... A qubit being “well characterized” means several different things. Its physical parameters should be accurately known, including the internal Hamiltonian of the qubit (which determines the energy eigenstates of the qubit, which are often, although not always, taken as the |0i and |1i states), the pr ...
Solid State Physics from the Mathematicians` Point of View
... carry the potentials with which the electrons interact are not stationary, but have momenta based on the temperature of the crystal. The theory must have these momenta in it; i.e., again the theory must have momenta and positions in it. We wish to make a theory based on that phase space and obtain t ...
... carry the potentials with which the electrons interact are not stationary, but have momenta based on the temperature of the crystal. The theory must have these momenta in it; i.e., again the theory must have momenta and positions in it. We wish to make a theory based on that phase space and obtain t ...
Magnetic-Field Induced Enhancement in the Fluorescence Yield Spectrum
... from LS coupling and hence maximum enhancement in FY intensity is attained [6]. In Fig. 2 this is reflected as local intensity minima at 1, 2, and maxima at 12 , 32 in the B 0 spectrum. The FY intensity increases with applied magnetic field, especially in the 65.38–65.39 eV region (Fig. ...
... from LS coupling and hence maximum enhancement in FY intensity is attained [6]. In Fig. 2 this is reflected as local intensity minima at 1, 2, and maxima at 12 , 32 in the B 0 spectrum. The FY intensity increases with applied magnetic field, especially in the 65.38–65.39 eV region (Fig. ...
Random Reality - Forgotten Planet
... theory--when a particle such as an electron is observed, its properties are randomly selected from a set of alternatives predicted by the equations. But Cahill and Klinger believe that this hints at a much deeper randomness. "Far from being merely associated with quantum measurements, this randomnes ...
... theory--when a particle such as an electron is observed, its properties are randomly selected from a set of alternatives predicted by the equations. But Cahill and Klinger believe that this hints at a much deeper randomness. "Far from being merely associated with quantum measurements, this randomnes ...
Arbitrarily Small Amount of Measurement Independence Is Sufficient
... inequalities of Table I form a complete set for all h ∈ 14 ; 13 ½ [23]. A visual representation of the evolution of the MDLpolytope as h goes from 14 to 13 can be seen in Fig. 3. It is interesting to note that the well-known CHSH inequality is not among these pffiffiffi 7 families. From (11), we see that ...
... inequalities of Table I form a complete set for all h ∈ 14 ; 13 ½ [23]. A visual representation of the evolution of the MDLpolytope as h goes from 14 to 13 can be seen in Fig. 3. It is interesting to note that the well-known CHSH inequality is not among these pffiffiffi 7 families. From (11), we see that ...
