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topic:qm:postulates
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| Both sides previous revisionPrevious revisionNext revision | Previous revision | ||
| topic:qm:postulates [2022/12/09 19:11] – samuel | topic:qm:postulates [2023/02/15 18:26] (current) – samuel | ||
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| The system is completely described by its state vector, which is a unit vector in the system’s state space. | The system is completely described by its state vector, which is a unit vector in the system’s state space. | ||
| - | **2.** The evolution of a closed quantum system is described by a unitary transformation. | + | **2.** The evolution of a closed quantum system is described by a [[topic: |
| That is, the state $\ket{\psi}$ of the system at time t1 is related to the state $\ket{\psi' | That is, the state $\ket{\psi}$ of the system at time t1 is related to the state $\ket{\psi' | ||
| Line 21: | Line 21: | ||
| **3.** [[topic: | **3.** [[topic: | ||
| These are operators acting on the state space of the system being measured. | These are operators acting on the state space of the system being measured. | ||
| - | The index m refers to the measurement outcomes that may occur in the experiment. | + | The index $m$ refers to the measurement outcomes that may occur in the experiment. |
| If the state of the quantum system is $\ket{\psi}$ immediately before the measurement then the probability that result $m$ occurs is given by | If the state of the quantum system is $\ket{\psi}$ immediately before the measurement then the probability that result $m$ occurs is given by | ||
| $$p(m) = \Braket{\psi | M_m^\dag M_m | \psi}$$ | $$p(m) = \Braket{\psi | M_m^\dag M_m | \psi}$$ | ||
topic/qm/postulates.1670613096.txt.gz · Last modified: by samuel
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