Generating a graphical representation of a quantum circuit

An apparatus comprising a processor and coupled memory, said processor being adapted to:

• obtain a representation of a quantum circuit, the quantum circuit is configured to manipulate a plurality of qubits over a plurality of cycles, the representation defining a first order of the plurality of qubits;
• determine a second order of the plurality of qubits that is different from the first order of the plurality of qubits, wherein said determine the second order is based on an objective function, the objective function is configured to provide scores based on respective lengths of circuit components in graphical representations of the quantum circuit or portions thereof, wherein the objective function is configured to yield different scores for different orders of the plurality of qubits;
• generate a graphical representation of the quantum circuit or portion thereof, the graphical representation displaying the plurality of qubits in accordance with the second order of the plurality of qubits, wherein the graphical representation comprises two disjoint sections, wherein the objective function comprises a local objective function, wherein the local objective function is applied to at least one of the two disjoint sections, wherein the two disjoint sections comprise first and second sections;
• implement a switching scheme between the first and second sections, wherein the switching scheme comprises:
• utilizing the second order of the plurality of qubits for the first section, the second order is determined based on the local objective function and with respect to the first section;
• and
• utilizing a third order of the plurality of qubits for the second section, the third order is determined based on the local objective function and with respect to the second section, wherein said utilizing the third order is based on a determination that a difference between a quality measurement of the second section when utilizing the third order, and between a quality measurement of the second section when utilizing the second order, is greater than a threshold, wherein a quality measurement of a section is determined based on the lengths of the circuit components within the section;
• and
• display the graphical representation of the quantum circuit or portion thereof.

An apparatus comprising a processor, a coupled memory and a display device, said processor being configured to:

• receive a description of a quantum circuit, the quantum circuit configured to process a set of qubits across a series of cycles, the description specifying an initial ordering of the set of qubits;
• compute an alternative ordering of the set of qubits that differs from the initial ordering, wherein said computing the alternative ordering is based on a scoring function, the scoring function configured to calculate values based on distances of circuit elements in visual depictions of the quantum circuit or segments thereof, wherein the scoring function is configured to produce distinct values for distinct orderings of the set of qubits;
• produce a visual depiction of the quantum circuit or segment thereof, the visual depiction rendering the set of qubits according to the alternative ordering, wherein the visual depiction comprises a first segment and a second segment that are non-overlapping, wherein the scoring function comprises a segment-specific scoring function, wherein the segment-specific scoring function is applied to at least one of the first segment and the second segment;
• execute a reordering scheme between the first segment and the second segment, wherein the reordering scheme comprises:
• applying the alternative ordering of the set of qubits for the first segment, the alternative ordering computed based on the segment-specific scoring function with respect to the first segment;
• and
• applying a further ordering of the set of qubits for the second segment, the further ordering computed based on the segment-specific scoring function with respect to the second segment, wherein said applying the further ordering is based on a determination that a disparity between a clarity metric of the second segment when applying the further ordering and a clarity metric of the second segment when applying the alternative ordering exceeds a predefined limit, wherein a clarity metric of a segment is computed based on the distances of the circuit elements within the segment;
• and
• display the visual depiction of the quantum circuit or segment thereof on said display device.