- Conference date: 25-29 July 2004
- Location: Glasgow (United Kingdom)
In this presentation I show that any mth‐degree polynomial function of the elements of the density matrix ρ can be estimated by finding the expectation value of two observables on m copies of ρ, without performing state tomography. Many important quantities in quantum information theory—such as the concurrence, three‐tangle, negativity, purity, and Renyi entropy—are either polynomials or simple functions of polynomials. Since circuits exists which can approximate the measurement of any observable, in principle one can find a circuit which will estimate any such polynomial function by averaging over many runs. Some simple examples are presented and compared to existing approaches, and the efficiency is discussed.
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