SEGUNDO WORKSHOP INFORMACIÌN CUÊNTICA EN ESPAÑA
... resource for quantum-enhanced atomic magnetometry [2]. More recently, we have developed techniques for squeezing all three spin components of an unpolarised sample of atoms. This generates a highly entangled macroscopic spin singlet (MSS) [3,4], analogous to the ground state of many fundamental spin ...
... resource for quantum-enhanced atomic magnetometry [2]. More recently, we have developed techniques for squeezing all three spin components of an unpolarised sample of atoms. This generates a highly entangled macroscopic spin singlet (MSS) [3,4], analogous to the ground state of many fundamental spin ...
Complementarity in Quantum Mechanics and Classical Statistical
... its generalization Ψ(q1 , q2 , . . . , qn , t) for a system with many constituents, notation that is omitted hereafter for the sake of simplicity). In fact, the knowledge of the wave function Ψ(q, t0 ) in an initial instant t0 allows the prediction of its future evolution prior to the realization of ...
... its generalization Ψ(q1 , q2 , . . . , qn , t) for a system with many constituents, notation that is omitted hereafter for the sake of simplicity). In fact, the knowledge of the wave function Ψ(q, t0 ) in an initial instant t0 allows the prediction of its future evolution prior to the realization of ...
generalized numerical ranges and quantum error correction
... Then the quantum channel Φ defined in (1.1) has an error correcting code of kdimension if and only if Λk ( T1∗ T1 , T1∗ T2 , . . . , Tr∗ Tr ) 6= ∅. Evidently, ( a1 , . . . , am ) ∈ Λk (A) if and only if there exists an n × k matrix U such that U ∗ U = Ik , and U ∗ A j U = a j Ik for j = 1, . . . , m ...
... Then the quantum channel Φ defined in (1.1) has an error correcting code of kdimension if and only if Λk ( T1∗ T1 , T1∗ T2 , . . . , Tr∗ Tr ) 6= ∅. Evidently, ( a1 , . . . , am ) ∈ Λk (A) if and only if there exists an n × k matrix U such that U ∗ U = Ik , and U ∗ A j U = a j Ik for j = 1, . . . , m ...
Lecture notes, Chapter 2. Introduction to Quantum Mechanics
... If we now consider a nucleus, we can as well give a description of its state. In quantum mechanics, a complete descrip tion of the state of a quantum object (or system) is given mathematically by the state vector |ψ) (or wavefunction ψ(rr)). The situation is however different than in classical mecha ...
... If we now consider a nucleus, we can as well give a description of its state. In quantum mechanics, a complete descrip tion of the state of a quantum object (or system) is given mathematically by the state vector |ψ) (or wavefunction ψ(rr)). The situation is however different than in classical mecha ...
manuscript - University of Hertfordshire
... Material [22]. All these Wigner functions have to be determined numerically [23]. Of the low energy states is the most dynamic in that it shifts all of the particle’s probability distribution back and forth between left and right well. Its Wigner function Wðt ¼ T=4Þ at a quarter of the tunnelling ...
... Material [22]. All these Wigner functions have to be determined numerically [23]. Of the low energy states is the most dynamic in that it shifts all of the particle’s probability distribution back and forth between left and right well. Its Wigner function Wðt ¼ T=4Þ at a quarter of the tunnelling ...
Abstracts Escuela de Fisica Matematica 2015, Universidad de los
... Anyons are the third fundamental category of particles, for two anyons under particle exchange the wavefunction acquires a fractional phase eiθ , giving rise to fractional statistics with 0 < θ < π. The greatest interest for the anyons study emerged when the fractional quantum Hall effect observed e ...
... Anyons are the third fundamental category of particles, for two anyons under particle exchange the wavefunction acquires a fractional phase eiθ , giving rise to fractional statistics with 0 < θ < π. The greatest interest for the anyons study emerged when the fractional quantum Hall effect observed e ...
3 Ion Trap Implementations
... applies to all pairs of neighboring motional states. Motional quanta are removed one-by-one in each optical cycle, and the ion ends up in the motional ground state which is then decoupled from the laser light. In experimental realizations either a stabilized laser is used to resolve individual sideb ...
... applies to all pairs of neighboring motional states. Motional quanta are removed one-by-one in each optical cycle, and the ion ends up in the motional ground state which is then decoupled from the laser light. In experimental realizations either a stabilized laser is used to resolve individual sideb ...
Non Ideal Measurements by David Albert (Philosophy, Columbia) and Barry Loewer
... form. An advocate of the modal interpretation must argue that since the measure of the set of such states is 0, it is very unlikely that they are actually encountered. 5. For any observable A* there is an initial state that the Hamiltonian evolves into, a state in which A* is well defined. We menti ...
... form. An advocate of the modal interpretation must argue that since the measure of the set of such states is 0, it is very unlikely that they are actually encountered. 5. For any observable A* there is an initial state that the Hamiltonian evolves into, a state in which A* is well defined. We menti ...
EmQM15-Symposium Introduction-Walleczek-Grössing-10-23-2015
... Emergent Space-Time concept. We have many examples of interesting quantum mechanical states, for which we can think of some (or all) of the spatial dimensions as emergent. Together with emergent space, we have the emergent dynamics of space and thus emergent gravity.” “But it is hard to imagine h ...
... Emergent Space-Time concept. We have many examples of interesting quantum mechanical states, for which we can think of some (or all) of the spatial dimensions as emergent. Together with emergent space, we have the emergent dynamics of space and thus emergent gravity.” “But it is hard to imagine h ...
Causal structural realism in canonical quantum gravity
... ‘quanta’ (or ‘atoms’) of space (3-volume) and links representing ‘quanta’ of surfaces (2surface) separating the ‘quanta’ of volume attached to the corresponding nodes. This discreteness often lies at the heart of the claim about the non-fundamentality of space within LQG (e.g. Wüthrich 2011). What i ...
... ‘quanta’ (or ‘atoms’) of space (3-volume) and links representing ‘quanta’ of surfaces (2surface) separating the ‘quanta’ of volume attached to the corresponding nodes. This discreteness often lies at the heart of the claim about the non-fundamentality of space within LQG (e.g. Wüthrich 2011). What i ...
QUANTUM ALGORITHMS FOR ELEMENT DISTINCTNESS∗ 1
... lower bounds follow again via reductions from the OR-problem: given X ∈ {0, 1}N , we define f : [N + 1] → {0, . . . , N } as f (i) = i(1 − xi ) and f (N + 1) = 0. Now OR(f ) = 1 if and only if f contains a collision. Thus we obtain: Theorem 3.2. The comparison-complexity of the element distinctness ...
... lower bounds follow again via reductions from the OR-problem: given X ∈ {0, 1}N , we define f : [N + 1] → {0, . . . , N } as f (i) = i(1 − xi ) and f (N + 1) = 0. Now OR(f ) = 1 if and only if f contains a collision. Thus we obtain: Theorem 3.2. The comparison-complexity of the element distinctness ...
On the speed of fluctuations around
... under consideration. This is a purely quantum phenomenon, and the key is entanglement, which leads to objective uncertainty—even when we have complete knowledge of the state of the whole system, a subsystem that is entangled with the rest of the system will be best described by a mixed state (i.e. a ...
... under consideration. This is a purely quantum phenomenon, and the key is entanglement, which leads to objective uncertainty—even when we have complete knowledge of the state of the whole system, a subsystem that is entangled with the rest of the system will be best described by a mixed state (i.e. a ...
