Reversing Quantum Measurements
... only certain probabilistic outcomes. • Information about the current state can be garnered from past measurements of identically configured quantum states. • However, information from future measurements may tell a fundamentally different story. • This makes quantum state description timeasymmetric. ...
... only certain probabilistic outcomes. • Information about the current state can be garnered from past measurements of identically configured quantum states. • However, information from future measurements may tell a fundamentally different story. • This makes quantum state description timeasymmetric. ...
PPT - Fernando Brandao
... where up to error exp(-lε2), μX only has support on states that are poly(d)ε-close to a state compatible with statistics. Standard de Finetti allows us to apply same reasoning to general ωn (by symmetrizing it, tracing out n-k copies and measuring l of the remaining k copies). Same conclusion as bef ...
... where up to error exp(-lε2), μX only has support on states that are poly(d)ε-close to a state compatible with statistics. Standard de Finetti allows us to apply same reasoning to general ωn (by symmetrizing it, tracing out n-k copies and measuring l of the remaining k copies). Same conclusion as bef ...
Complexity of one-dimensional spin chains
... states must violate a transition rule after at most O(m2) transitions, so have a (polynomially small) positive energy. • States which have the right structure and n qubits: The transition rules and boundary conditions select only a correct history state as the ground state of the Hamiltonian. ...
... states must violate a transition rule after at most O(m2) transitions, so have a (polynomially small) positive energy. • States which have the right structure and n qubits: The transition rules and boundary conditions select only a correct history state as the ground state of the Hamiltonian. ...
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 ...
The semantics of the canonical commutation relation
... The dimension nà of the modules in Và is a non-standard integer, which allows both to treat the new “Hilbert space” as both infinite-dimensional and pseudo-finite dimensional space. 1.10 In fact, for each rational algebra A all the “physics” is modelled in one particular module chosen in the bundl ...
... The dimension nà of the modules in Và is a non-standard integer, which allows both to treat the new “Hilbert space” as both infinite-dimensional and pseudo-finite dimensional space. 1.10 In fact, for each rational algebra A all the “physics” is modelled in one particular module chosen in the bundl ...
0321813545_07_final
... Conceptual Connection 7.2 The de Broglie Wavelength of Macroscopic Objects (illustrates the insignificance of the wavelengths of macroscopic objects) Heisenberg’s uncertainty principle in particular challenges the centuries‐old scientific tenet that two experiments arranged the same way ...
... Conceptual Connection 7.2 The de Broglie Wavelength of Macroscopic Objects (illustrates the insignificance of the wavelengths of macroscopic objects) Heisenberg’s uncertainty principle in particular challenges the centuries‐old scientific tenet that two experiments arranged the same way ...
