By Lajos Diosi
This brief and concise primer takes the vantage element of theoretical physics and the solidarity of physics. It units out to strip the burgeoning box of quantum details technology to its fundamentals via linking it to common options in physics. an in depth lecture instead of a finished textbook, this quantity relies on classes added over a number of years to complicated undergraduate and starting graduate scholars, yet primarily it addresses a person with a operating wisdom of easy quantum physics. Readers will locate those lectures a such a lot enough access element for theoretical stories during this box.
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Extra info for A Short Course In Quantum Information Theory An Approach From Theoretical Physics
2 Depolarization, re-polarization, reflection The q-measurement is the most important operation among the irreversible ones. 1 One-qubit operations 41 and we can not completely re-supply it into the state, because of decoherence. More general irreversible operations can be obtained if we combine q-measurements and unitary operations. It is important that the mapping of the density matrix remains linear and information on the state, cf. Chap. 10 for details, can only be obtained at the expense of irreversibility and decoherence.
If the results are different, Alice and Bob eliminates both the k th and the l th bits from their siftkeys. If the results are equal then they agree to drop one of the bits, say the k th so that Eve can not acquire any further information on the key even if she listened to the public classical communication of Alice and Bob. The above procedure is iterated by Alice and Bob until they see that the frequency of disagreement between their shortened keys is already smaller than a given little threshold.
Universality of Hadamard and phase operations. Let us show that all 2 × 2 unitary matrices (upto a complex phase) can be constructed by the repeated applicaˆ and the phase-operation Tˆ(ϕ). Method: use Euler angles tion of the Hadamard- H of rigid body rotation kinematics. 2. Statistical error of qubit determination. Suppose Alice hands over N identically prepared qubits ρˆ to Bob but she does not tell Bob what the state ρˆ is. 2. 4 Applications of no-cloning and indistinguishability 51 the estimation errors ∆sx , ∆sy , ∆sz in function of s and the number of single state measurements.
A Short Course In Quantum Information Theory An Approach From Theoretical Physics by Lajos Diosi