Quantum / CONCEPT
Gingrich's proposed three-qubit monotone increases on average under a local measurement
Gingrich (arXiv:quant-ph/0106042, Phys. Rev. A 65, 052302) proposes sigma_ABC = 3 - (I_1 + I_2 + I_3) I_4, built from three purities and the Kempe invariant I_4, as a fifth entanglement monotone of three-qubit pure states, supported by numerical tests. It is not one: a two-outcome diagonal measurement on qubit A of (5|000> + 5|011> + 2|110>)/(3 sqrt 6) raises its average by 169/1594323.
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The proposed monotone increases on average
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- A state stabilized by binary operators that is not locally a stabilizer statestructural-affinity · Closed
- Address-Record Correlation Monogamystructural-affinity · Closed
- Extended local permutations do not suffice for block-shift formstructural-affinity · Closed
- Finite Record Conditioningstructural-affinity · Closed
- Local-unitary inequivalence of two weight-isometric pairs of stabilizer codesstructural-affinity · Closed
- Non-cyclic periodic Fredkin eigenstates are annihilatedstructural-affinity · Closed
- Spectral powers and matrix positivitystructural-affinity · Closed
- Wigner distance minimum attainmentstructural-affinity · Closed
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