The additivity problem in quantum information theory
... such a non-additivity, nor a general proof for the additivity. In this lecture we survey the present status of this problem. We start in Section 2 with the classical case, where the additivity holds for almost obvious reasons. We then describe the problem in the finite-dimensional quantum setting in ...
... such a non-additivity, nor a general proof for the additivity. In this lecture we survey the present status of this problem. We start in Section 2 with the classical case, where the additivity holds for almost obvious reasons. We then describe the problem in the finite-dimensional quantum setting in ...
The additivity problem in quantum information theory
... such a non-additivity, nor a general proof for the additivity. In this lecture we survey the present status of this problem. We start in Section 2 with the classical case, where the additivity holds for almost obvious reasons. We then describe the problem in the finite-dimensional quantum setting in ...
... such a non-additivity, nor a general proof for the additivity. In this lecture we survey the present status of this problem. We start in Section 2 with the classical case, where the additivity holds for almost obvious reasons. We then describe the problem in the finite-dimensional quantum setting in ...
Fidelity as a figure of merit in quantum error correction
... recovery operations, is identical to the initial state. Therefore, this figure of merit (FOM) is a measure of “likeness”, and it has the characteristic property that identical states have unit fidelity, while orthogonal states have zero fidelity. We have also presented a code with fidelity as its FO ...
... recovery operations, is identical to the initial state. Therefore, this figure of merit (FOM) is a measure of “likeness”, and it has the characteristic property that identical states have unit fidelity, while orthogonal states have zero fidelity. We have also presented a code with fidelity as its FO ...
Quantum error correcting codes and Weyl commutation relations
... Abstract This is mainly an expository account of the general theory of quantum error correcting codes exploiting the commutation relations between the Weyl operators associated with a finite additive abelian group. There are some new elements of proofs and remarks, particularly, in the context of th ...
... Abstract This is mainly an expository account of the general theory of quantum error correcting codes exploiting the commutation relations between the Weyl operators associated with a finite additive abelian group. There are some new elements of proofs and remarks, particularly, in the context of th ...
The capacity of the noisy quantum channel
... taken on its own is described by a density matrix ρin . Now send the first variable down the channel. The result is a partially entangled state for the two variables described by density matrix ρᾱ . That is, Sᾱ is the entropy increase when one of two fully entangled variables is sent down the cha ...
... taken on its own is described by a density matrix ρin . Now send the first variable down the channel. The result is a partially entangled state for the two variables described by density matrix ρᾱ . That is, Sᾱ is the entropy increase when one of two fully entangled variables is sent down the cha ...
example: on the Bloch sphere: this is a rotation around the equator
... M. D. Barrett, J. Chiaverini, T. Schaetz, J. Britton, W. M. Itano, J. D. Jost, E. Knill, C. Langer, D. Leibfried, R. Ozeri, D. J. Wineland Nature 429, 737 - 739 (17 Jun 2004) Letters to Editor Abstract | Full Text | PDF | Rights and permissions | Save this link Deterministic quantum teleportation wi ...
... M. D. Barrett, J. Chiaverini, T. Schaetz, J. Britton, W. M. Itano, J. D. Jost, E. Knill, C. Langer, D. Leibfried, R. Ozeri, D. J. Wineland Nature 429, 737 - 739 (17 Jun 2004) Letters to Editor Abstract | Full Text | PDF | Rights and permissions | Save this link Deterministic quantum teleportation wi ...
Quantum information theory: Results and open
... The discipline of information theory was founded by Claude Shannon in a truly remarkable paper [28] which laid down the foundations of the subject. We begin with a quote from this paper which is an excellent summary of the main concern of information theory: The fundamental problem of communication ...
... The discipline of information theory was founded by Claude Shannon in a truly remarkable paper [28] which laid down the foundations of the subject. We begin with a quote from this paper which is an excellent summary of the main concern of information theory: The fundamental problem of communication ...
Quantum Control in the Classical Limit: Can the
... same final state. Such control is often manifest via a dependence on eatures such as relative phases of incident laser fields. 3. But there are classical analogs (limits?) that show similar dependences. a. Are they the same phenomena? b. If they are the same phenomena then how are we to understand t ...
... same final state. Such control is often manifest via a dependence on eatures such as relative phases of incident laser fields. 3. But there are classical analogs (limits?) that show similar dependences. a. Are they the same phenomena? b. If they are the same phenomena then how are we to understand t ...
What Is Quantum Information? - Quantum Theory Group at CMU
... • “Sx = +1/2 AND Sz = +1/2” is meaningless ◦ Corresponds to nothing in Hilbert space ◦ So quantum mechanics assigns it no meaning • “Sx = +1/2 OR Sz = +1/2” is also meaningless • “Sx = +1/2 AND Sx = −1/2” is meaningful, FALSE ◦ Just one kind or species of information involved • “Sx = +1/2 OR Sx = −1 ...
... • “Sx = +1/2 AND Sz = +1/2” is meaningless ◦ Corresponds to nothing in Hilbert space ◦ So quantum mechanics assigns it no meaning • “Sx = +1/2 OR Sz = +1/2” is also meaningless • “Sx = +1/2 AND Sx = −1/2” is meaningful, FALSE ◦ Just one kind or species of information involved • “Sx = +1/2 OR Sx = −1 ...
Quantum-teleportation benchmarks for independent and identically
... probability of failure. The point of this approximation is to reduce a statistical problem (e.g., estimation) about the more complex model P n to a simpler problem about the Gaussian model N . Local asymptotic normality also provides a convenient description of quantum statistical models involving i ...
... probability of failure. The point of this approximation is to reduce a statistical problem (e.g., estimation) about the more complex model P n to a simpler problem about the Gaussian model N . Local asymptotic normality also provides a convenient description of quantum statistical models involving i ...