Error correction using squeezed Fock states

Abstract

The paper addresses the construction of an error correction code for quantum computations based on squeezed Fock states. It is shown that the use of squeezed Fock states makes it possible to satisfy the Knill-Laflamme (KL) criteria for bosonic error correction codes. It is shown that the first squeezed Fock state corrects both particle loss and dephasing errors better than higher-order states. A comparison of the proposed code with a code based on the squeezed Schrodinger’s cat states is carried out on the basis of the KL cost function. Using this function, we show that the squeezed first Fock state is competitive in protecting information in a channel with particle loss and dephasing.