UNRAVELING OPEN QUANTUM SYSTEMS: CLASSICAL
... hypothesis is explicitly assumed to perform the perturbation estimates: (H1) Assume in general H(λ) to be a self-adjoint operator of the form H(λ) = H(0)+ λW , where H(0) and W are bounded and 0 ≤ λ ≤ λ0 for some λ0 > 0. Moreover, it is assumed that [H(0), P ] = 0, and that W = P W Q + QW P , where ...
... hypothesis is explicitly assumed to perform the perturbation estimates: (H1) Assume in general H(λ) to be a self-adjoint operator of the form H(λ) = H(0)+ λW , where H(0) and W are bounded and 0 ≤ λ ≤ λ0 for some λ0 > 0. Moreover, it is assumed that [H(0), P ] = 0, and that W = P W Q + QW P , where ...
Against Field Interpretations of Quantum Field Theory - Philsci
... direction of the field at a point. So we have a straightforward field interpretation for classical electromagnetism. QFT is more complicated. Formally, a solution to the theory doesn’t take the form of a tensor field. Rather, it consists of two parts: a state in Hilbert space and a set of operators ...
... direction of the field at a point. So we have a straightforward field interpretation for classical electromagnetism. QFT is more complicated. Formally, a solution to the theory doesn’t take the form of a tensor field. Rather, it consists of two parts: a state in Hilbert space and a set of operators ...
an introduction to quantum mechanics - TU Dortmund
... respectively, the state of the system is ai, ßj . Repeating the measurement of the A or B we find again the values ai or ßj respectively. It is significant to have more and more observables simultaneously measurable to define a state. Let us suppose that two observables A and Γ are not simultaneousl ...
... respectively, the state of the system is ai, ßj . Repeating the measurement of the A or B we find again the values ai or ßj respectively. It is significant to have more and more observables simultaneously measurable to define a state. Let us suppose that two observables A and Γ are not simultaneousl ...
Free Field Approach to 2-Dimensional Conformal Field Theories
... The corresponding resolutions in terms of those free field Fock spaces were constructed in Refs. 36)---....40) for affine Kac-Moody algebras, Ref. 37) for the CWalgebras (through the quantum Hamiltonian reduction 41 >-43 >), in Refs. 44) and 45) for parafermion algebras and in Ref. 44) for generic c ...
... The corresponding resolutions in terms of those free field Fock spaces were constructed in Refs. 36)---....40) for affine Kac-Moody algebras, Ref. 37) for the CWalgebras (through the quantum Hamiltonian reduction 41 >-43 >), in Refs. 44) and 45) for parafermion algebras and in Ref. 44) for generic c ...
An Extreme form of Superactivation for Quantum Zero-Error
... is a pure state, represented by a d-dimensional complex unit vector |ψi ∈ Cd . More generally, the state of a d-level system is given by a density matrix, ρ ∈ B(Cd ), where, B(Cd ) denotes the set of bounded linear operators on Cd . Such a density matrix is Hermitian (ρ = ρ† ) and has unit trace, Tr ...
... is a pure state, represented by a d-dimensional complex unit vector |ψi ∈ Cd . More generally, the state of a d-level system is given by a density matrix, ρ ∈ B(Cd ), where, B(Cd ) denotes the set of bounded linear operators on Cd . Such a density matrix is Hermitian (ρ = ρ† ) and has unit trace, Tr ...
Distinguishing mixed quantum states: Minimum
... spanned by the two sets of states 兵兩1典 , . . . , 兩k0−1典其 and 兵兩k0典 , . . . , 兩D典其. On the other hand, when negative eigenvalues do not exist it follows that ⌸1 = 0 and ⌸2 = IDS, which means that the minimum-error probability can be achieved by always guessing that the quantum system is in the st ...
... spanned by the two sets of states 兵兩1典 , . . . , 兩k0−1典其 and 兵兩k0典 , . . . , 兩D典其. On the other hand, when negative eigenvalues do not exist it follows that ⌸1 = 0 and ⌸2 = IDS, which means that the minimum-error probability can be achieved by always guessing that the quantum system is in the st ...
Slater decomposition of fractional quantum Hall states
... The last point is of particual interest. Dunne [Dun93] proved some results about Laughlin’s decomposition on the Schur functions, a particular family of symmetric functions. In [DFGIL94], some sum rules for the coefficients of the Slater expansion were found. Nevertheless, the first big progress on ...
... The last point is of particual interest. Dunne [Dun93] proved some results about Laughlin’s decomposition on the Schur functions, a particular family of symmetric functions. In [DFGIL94], some sum rules for the coefficients of the Slater expansion were found. Nevertheless, the first big progress on ...
