Are Quantum States Exponentially Long Vectors?
... is a tree state. For that matter, so is any state that can be written P succinctly in the Dirac ket notation, using only the symbols |0i , |1i , +, ⊗, (, ) together with constants (no ’s are allowed). In evaluating tree states as a possible Sure/Shor separator, we need to address two questions: firs ...
... is a tree state. For that matter, so is any state that can be written P succinctly in the Dirac ket notation, using only the symbols |0i , |1i , +, ⊗, (, ) together with constants (no ’s are allowed). In evaluating tree states as a possible Sure/Shor separator, we need to address two questions: firs ...
2. Atomic Structure 2.1 Historical Development of Atomic Theory
... “The more precisely the position is determined, the less precisely the momentum is known in this instant, and vice versa.” (Heisenberg, 1927) ...
... “The more precisely the position is determined, the less precisely the momentum is known in this instant, and vice versa.” (Heisenberg, 1927) ...
Quantum Walks in Discrete and Continuous Time
... communicate by programming the qubit frequencies in the network.! ...
... communicate by programming the qubit frequencies in the network.! ...
Hidden Variable Theory
... Most physicists say that measurements do not reveal a pre-existing value of the measured quantity; we say that the outcome of the measurement is brought into being by the very act of measurement. There are two reasons why we say this: 1. Measurements disturb the system If we want to measure the posi ...
... Most physicists say that measurements do not reveal a pre-existing value of the measured quantity; we say that the outcome of the measurement is brought into being by the very act of measurement. There are two reasons why we say this: 1. Measurements disturb the system If we want to measure the posi ...
Phase estimation and Shor`s algorithm
... It is important to observe that one can efficiently construct a quantum network for controlled multiplication modulo some number N . Moreover, for any j, it is possij ble to efficiently implement a controlled-Ua2 gate [? ? ]. Therefore, we can apply the techniques for optimal phase estimation discus ...
... It is important to observe that one can efficiently construct a quantum network for controlled multiplication modulo some number N . Moreover, for any j, it is possij ble to efficiently implement a controlled-Ua2 gate [? ? ]. Therefore, we can apply the techniques for optimal phase estimation discus ...
NP-complete Problems and Physical Reality
... What could we do if we could solve NP-complete problems? ...
... What could we do if we could solve NP-complete problems? ...
