Qubit Geometries

A Geometry defines the spatial arrangement and connectivity of qubits, typically represented as a graph structure. MonitoredQuantumCircuits.jl provides several commonly used geometries out of the box, facilitating the construction and analysis of quantum circuits on a variety of lattice types. Users may also implement custom geometries by following the geometry interface.

Available Geometries

• ChainGeometry Represents a chain (one-dimensional) structure, supporting both periodic and open boundary conditions.

• HoneycombGeometry Represents a honeycomb lattice structure, supporting both periodic and open boundary conditions.

• ShastrySutherlandGeometry Represents a Shastry-Sutherland lattice.

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API Reference

MonitoredQuantumCircuits.ChainGeometry Type

A data structure representing a one-dimensional chain geometry of qubits.

Constructors

ChainGeometry(Periodic, size::Integer)

Constructs a chain geometry with periodic boundary conditions (i.e., a closed loop).

ChainGeometry(Open, size::Integer)

Constructs a chain geometry with open boundary conditions (i.e., a linear chain).

Arguments

• size::Integer: The number of qubits in the chain.

Examples

# Create a chain of 8 qubits with periodic boundaries
geometry = ChainGeometry(Periodic, 8)

# Create a chain of 10 qubits with open boundaries
geometry = ChainGeometry(Open, 10)

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MonitoredQuantumCircuits.HoneycombGeometry Type

A data structure representing a honeycomb lattice geometry.

Constructors

HoneycombGeometry(Periodic, sizeX::Integer, sizeY::Integer)

Create a honeycomb geometry with periodic boundary conditions.

HoneycombGeometry(Open, sizeX::Integer, sizeY::Integer)

Create a honeycomb geometry with open boundary conditions.

Arguments

• sizeX::Integer: Width of the lattice

• sizeY::Integer: Height of the lattice (must be even)

Examples

# Create a 4×4 honeycomb lattice with periodic boundaries
geometry = HoneycombGeometry(Periodic, 4, 4)

# Create a 6×6 honeycomb lattice with open boundaries
geometry = HoneycombGeometry(Open, 6, 6)

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MonitoredQuantumCircuits.ShastrySutherlandGeometry Type

A data structure representing a Shastry-Sutherland lattice geometry.

Constructors

ShastrySutherlandGeometry(Periodic, sizeX::Integer, sizeY::Integer)

Construct a Shastry-Sutherland geometry with periodic boundary conditions.

Arguments

• sizeX::Integer: The number of sites in the x direction

• sizeY::Integer: The number of sites in the y direction

Examples

# Create a 4×4 Shastry-Sutherland lattice with periodic boundaries
geometry = ShastrySutherlandGeometry(Periodic, 4, 4)

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