Systems and methods for noise-resistant quantum communication using hyperentanglement

A method for noise-resistant quantum communication, the method comprising:

• accessing a signal of a quantum system, wherein the quantum system includes a plurality of qubits;
• obtaining hyperentanglement of the plurality of qubits via an entanglement source, wherein the hyperentanglement of the plurality of qubits is in at least two dimensions, wherein the at least two dimensions include a first dimension and a second dimension;
• transmitting the hyperentangled plurality of qubits via a communication channel;
• performing a communication of the signal with the first dimension of the at least two dimensions;
• filtering results of the communicated signal based on the second dimension of the at least two dimensions;
• and
• communicating the filtered results of the communicated signal.

A non-transitory computer-readable storage medium storing a program for causing a quantum system to execute a method for noise-resistant quantum communication, the method comprising:

• accessing a signal of a quantum system, the quantum system includes a plurality of qubits;
• obtaining hyperentanglement of the plurality of qubits via an entanglement source, wherein the hyperentanglement of the plurality of qubits is in at least two dimensions, wherein the at least two dimensions include a first dimension and a second dimension;
• transmitting the hyperentangled plurality of qubits via a noisy quantum channel;
• performing a communication of the signal with the first dimension of the at least two dimensions;
• filtering results of the communicated signal based on the second dimension of the at least two dimensions;
• and
• communicating the filtered results of the communicated signal.