【摘 要】
：
We address the general problem of transforming a quantum gate given by a unitary representation of a symmetry group into a gate given by a different represe
【机 构】
：
PaviaUniversity,Italy
【出 处】
：
The XXIX International Colloquium on Group-Theoretical Metho
论文部分内容阅读
We address the general problem of transforming a quantum gate given by a unitary representation of a symmetry group into a gate given by a different representation of the same group.We investigate which are the optimal performances that quantum mechanics allows in achieving this general task which includes cloning and learning of unitary transformations as special cases.We will prove that if many copies of the unknown unitary are provided,the optimal strategy involves a parallel call of the available uses and we will provide a bound on the dimension of the ancillary systems required to realize the optimal strategy.Finally we will reduce the general problem to a set of quadratic equations and we will provide the explicit solution for the cloning of a phase gate,and for the conversion between gates given by irreducible representations.
其他文献
A superintegrable finite model of the quantum oscillator in two dimensions is introduced.It is defined on a uniform lattice of triangular shape.The constant
We present a generic non-linear model to treat various problems in developmental biology.The model is able not only to break the symmetry of space,but also
The Help Cure Muscular Dystrophy (HCMD) project investigates protein-protein interactions for more than 2,200 human proteins whose structures are known,with
We have developed an alignment-free approach to infer phylogenetic relationships of bacteria from their complete genomes.Operationally this approach works w
Horizontal gene transfer (HGT) is believed to be important mechanism for the attainment of genetic plasticity in many species of bacteria and is defined to
Ten years ago,Freedman,Kitaev,Larsen and Wang established that simulating certain Topological Quantum Field Theories is universal for quantum computation.Th
The problem of proving (or disproving) the existence of symmetric informationally complete positive operator valued measures (SICs) has been the focus of mu
Given a random quantum state of multiple (distinguishable or indistinguishable) particles,we provide an algorithm to compute the joint probability distribut
In most of the realistic models in Physics one must take correlations into account; events,which are usually presented as independent,like in a binomial Ber
In the standard teleportation protocol,the direct transfer of a quantum system from a sender to a receiver can be perfectly simulated by the transfer of a f