We address the question of quantum memory storage for quantum dynamics. In particular,
we design an optimal protocol for N→ 1 probabilistic storage and retrieval of unitary …

We develop a semidefinite programming method for the optimization of quantum networks,
including both causal networks and networks with indefinite causal structure. Our method …

A universal quantum processor is a device that takes as input a (quantum) program,
containing an encoding of an arbitrary unitary gate, and a (quantum) data register, on which …

The Schur transform, which block-diagonalizes the tensor representation $ U^{\otimes n} $
of the unitary group $\mathbf {U} _d $ on $ n $ qudits, is an important primitive in quantum …

The Schur transform is a unitary operator that block diagonalizes the action of the symmetric
and unitary groups on an n fold tensor product V⊗ n of a vector space V of dimension d …

A quantum autoencoder is a quantum neural network model for compressing information
stored in quantum states. However, one needs to process information stored in quantum …

Herein we continue the study of the representation theory of the algebra of permutation
operators acting on the $ n $-fold tensor product space, partially transposed on the last …

Isometry operations encode the quantum information of the input system to a larger output
system, while the corresponding decoding operation would be an inverse operation of the …

The full characterization of the possible transformations of quantum operations is
indispensable to developing algorithms in higher-order quantum computation, which is the …

We analyze implementations of bipartite unitaries by means of local operations and classical
communication (LOCC) assisted by shared entanglement. We employ concepts and …