Recent content by andphy

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    Graduate How Do Eigenvalues and Eigenvectors Determine a Quantum Density Operator?

    ok... this s the formula for finding the density matrix:
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    Graduate How Do Eigenvalues and Eigenvectors Determine a Quantum Density Operator?

    But this means that Pauli-X matrice and respective density matrice result in the same matrice ! Perhaps I need to read more as still a bit confused on how density matrices are calculated given for instance the Pauli operators and their eigenvalues.
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    Graduate How Do Eigenvalues and Eigenvectors Determine a Quantum Density Operator?

    Thank You - so if I have eigenvalues of 1 and -1 and eigenvectors of 1/√2(1,1) and /√2(1,-1) - how do I calculate the density matrix ?
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    Undergrad Is the Transpose Conjugate of a Unitary Matrix Equal to the Identity Matrix?

    sorry meant to say identity matrix (not inverse) - thank you.
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    Undergrad Is the Transpose Conjugate of a Unitary Matrix Equal to the Identity Matrix?

    Right the product will result in the inverse: 1 0 0 1 correct ?
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    Graduate How Do Eigenvalues and Eigenvectors Determine a Quantum Density Operator?

    Hi, How do eigenvalues and eigenvectors relate to the density operator. Given the eigenvalues of a matrix, can they help to find the density operator ? I have seen the formula within http://www.quantiki.org/wiki/Density_matrix but given a matrix how do I work it out to get the density operator...
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    Undergrad Is the Transpose Conjugate of a Unitary Matrix Equal to the Identity Matrix?

    That helps thank you.
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    Undergrad Is the Transpose Conjugate of a Unitary Matrix Equal to the Identity Matrix?

    Hi, A unitary matrix should have it transpose conjugate equal to its inverse. Please confirm that this statement is correct and check attached matrix as they are not equal and in doubt if I did correctly. Thanks.