We classify biqutrit and triqutrit pure states under stochastic local operations and classical communication. By investigating the right singular vector spaces of the coefficient matrices of the states, we obtain explicitly two inequivalent classes of biqutrit states and twelve inequivalent classes of triqutrit states respectively.

Compared with a qubit, qudit (i.e., $d$-level or $d$-state quantum system) provides larger Hilbert space to store and process information. On the other hand, qudit-based hybrid computing usually requires performing gates qudits different in their nature encoding format. In this work, we consider qutrit case, i.e., case for $d$=3. We propose simple method realize controlled-SUM gate one supercon...

We propose a scheme to construct the controlled-phase (c-phase) gate on distant transmon qutrits hosted in different resonators inter-coupled by a connected transmon qutrit. Different from previous works for entanglement generation and information transfer on two distant qubits in a dispersive regime in the similar systems, our gate is constructed in the resonant regime with one step. The numer...

Attribute-Based Encryption is a relatively new concept in the field of cryptography, and it allows only the authorized entities to decrypt a message. This type of encryption is the mechanism by which the users may encrypt and decrypt data based on user attributes. This paper proposes the first quantum alternative of the scheme Key-Policy Attribute Based Encryption, where the information, the en...

We consider several problems that involve finding the eigenvalues and generating the eigenstates of unknown unitary gates. We first examine Controlled-U gates that act on qubits and assume that we know the eigenvalues. It is then shown how to use singlet states to produce qubits in the eigenstates of the gate. We then remove the assumption that we know the eigenvalues and show how to both find ...

Abstract We investigate the heat transport properties of a three-level system coupled to three thermal baths, assuming model based on superconducting circuit implementations. The system-bath coupling is mediated by resonators which serve as frequency filters for different qutrit transitions. Taking into account finite quality factors resonators, we find rectification and circulation effects not...