Managing processing of states of sequences of data

A method for processing states of a sequence of data, the method comprising:

• receiving a first state of the sequence of data;
• generating a first hypergraph-based representation based at least in part on the first state of the sequence of data;
• performing a first instance of an operation on the first state of the sequence of data based at least in part on the first hypergraph-based representation;
• modifying the first hypergraph-based representation to generate a second hypergraph-based representation, where the modifying comprises:
• receiving an update comprising a portion of a second state of the sequence of data that differs from the first state of the sequence of data, where the update is less than the entire second state of the sequence of data, and
• determining a set of hyperedges between nodes in a hypergraph corresponding to the second hypergraph-based representation based on corresponding bits in the update;
• and
• performing a second instance of the operation on the second state of the sequence of data based at least in part on the second hypergraph-based representation.

A system for generating and transmitting quantum states, the system comprising:

• a first computing device comprising one or more processors in communication with a first plurality of quantum storage elements;
• a second computing device comprising one or more processors in communication with (1) a non-volatile memory, (2) a second plurality of quantum storage elements, and (3) control circuitry configured to apply quantum gate operations to the second plurality of the quantum storage elements, where the second computing device is configured to:
• read a first sequence of data from the non-volatile memory, and
• use the control circuitry to generate a first set of quantum states stored in the second plurality of quantum storage elements based at least in part on at least one of (1) a hypergraph-based representation associated with the first sequence of data or (2) random circuit sampling and the first sequence of data, where the first sequence of data provides randomness for the random circuit sampling;
• and
• a quantum communication channel between the first computing device and the second computing device configured to transmit the first set of quantum states from the second computing device to the first computing device.