Exporting to OpenQASM

To facilitate the integration of simulators and hardware devices, hybridlane provides an intermediate representation (IR) format based on OpenQASM 3.0, with a few (minimal) modifications to capture hybrid CV-DV programs. We detail the extensions to OpenQASM in a later section to first focus on introducing how to use it.

A quantum program can be exported using the to_openqasm() function. This function inspects the circuit for qumodes and qubits, and declares them separately in registers m and q, respectively. Based on the measurements and their observables, it also infers whether to use homodyne (hl.X) or Fock number (hl.N) measurements. Finally, noncommuting measurements are run on separate calls to the state preparation circuit, so a single OpenQASM program may contain multiple circuit executions using the function invocation feature of OpenQASM 3.0.

Basic usage

Here we give an example of exporting a basic circuit to OpenQASM. Consider the following circuit

dev = qp.device("bosonicqiskit.hybrid")

@qp.qnode(dev)
def circuit(n):
    for j in range(n):
        qp.X(0)
        hl.JaynesCummings(np.pi / (2 * np.sqrt(j + 1)), np.pi / 2, [0, 1])

    return (
        hl.var(hl.QuadP(1)),
        hl.expval(qp.PauliZ(0)),
    )

Note that it has DV gates, hybrid gates, and DV and CV measurements. Furthermore, the QuadP observable is not diagonal in the position basis. This can be exported with

qasm = hl.to_openqasm(circuit, precision=5)(5)

which produces the following IR

OPENQASM 3.0;
include "stdgates.inc";
include "cvstdgates.inc";

qubit[1] q;
qumode[1] m;

def state_prep() {
    reset q;
    reset m;
    x q[0];
    cv_jc(1.5708, 1.5708) q[0], m[0];
    x q[0];
    cv_jc(1.1107, 1.5708) q[0], m[0];
    x q[0];
    cv_jc(0.9069, 1.5708) q[0], m[0];
    x q[0];
    cv_jc(0.7854, 1.5708) q[0], m[0];
    x q[0];
    cv_jc(0.70248, 1.5708) q[0], m[0];
}

state_prep();
cv_r(1.5708) m[0];
float c0 = measure_x m[0];
bit[1] c1;
c1[0] = measure q[0];

To measure the momentum operator \(\hat{p}\), you can see that the export function added the diagonalizing gates (\(R(\pi/2)\)). To disable this behavior, you can set rotations = False. Additionally, CV measurements automatically are stored in a data type at machine precision.

Encoding custom operators

Sometimes, you might want to keep an operator in the IR that isn’t part of our “standard library,” meaning hybridlane doesn’t know how to serialize it. You can teach it to encode your operations by registering an implementation with the function format_gate_as_qasm().

We’ll give an example encoding the ECD gate with the instruction cv_ecd:

from typing import Any

import hybridlane as hl
from hybridlane.io.openqasm import format_gate_as_qasm

@format_gate_as_qasm.register
def _(op: hl.ECD, wire_to_str: dict[Any, str], precision: int | None = None) -> str:
    if precision:
        params = list(map(lambda p: f"{p:.{precision}f}", op.parameters))
    else:
        params = list(map(str, op.parameters))

    wires = list(map(lambda w: wire_to_str[w], op.wires))
    param_str = "(" + ", ".join(params) + ")" if params else ""
    wire_str = ", ".join(wires)
    gate_str = f"cv_ecd{param_str} {wire_str};"
    return gate_str

The first parameter of the function needs to be the operator to be encoded, and its type must be annotated because Python’s functools.singledispatch() decorator relies on the type hints to determine which implementation to use for a given input.

The second argument is a dictionary mapping the wire labels in the operator to the corresponding OpenQASM register label. For example, qumode m in op might have OpenQASM reference m[3].

The final argument is the number of decimal places used to encode each angle parameter.

Strict mode

This custom IR format is not compatible with the official OpenQASM parser. If, for some reason, your application needs to erase the type information to be compatible with OpenQASM, you can pass the strict=True flag to produce OpenQASM-compatible circuits. This will remove the custom CV-DV extensions.

qasm = hl.to_openqasm(circuit, precision=5, strict=True)(5)

produces

OPENQASM 3.0;
include "stdgates.inc";
include "cvstdgates.inc";

// Position measurement x
defcal measure_x m -> float {}

// Fock measurement n
defcal measure_n m -> uint {}

qubit[1] q;
qubit[1] m;

def state_prep() {
    reset q;
    reset m;
    x q[0];
    cv_jc(1.5708, 1.5708) q[0], m[0];
    x q[0];
    cv_jc(1.1107, 1.5708) q[0], m[0];
    x q[0];
    cv_jc(0.9069, 1.5708) q[0], m[0];
    x q[0];
    cv_jc(0.7854, 1.5708) q[0], m[0];
    x q[0];
    cv_jc(0.70248, 1.5708) q[0], m[0];
}

state_prep();
cv_r(1.5708) m[0];
float c0 = measure_x(m[0]);
bit[1] c1;
c1[0] = measure q[0];

Notice how the register declaration qumode m[1] became qubit m[1], and the measure_x keyword was replaced with a corresponding defcal and function call.

OpenQASM modifications

Our superset of OpenQASM contains the following extra features:

  1. The qumode keyword has the same semantics as qubit, just telling the compiler that a register specifically contains qumodes instead. This enables a compiler to perform type checking on gates and measurements.

    Example:

    // Can declare a register of qumodes
    qumode[3] m;
    
    // and reset them
    reset m;
    
    // or use them in a subroutine definition
    def pmeasure(qumode m) -> float[32] {
        cv_r(pi/2) m;
        return measure_x m;
    }
    
  2. The measure_x keyword has the same syntax as the qubit measure keyword, but it performs homodyne measurement of a qumode and stores the result in a float variable. The bit width of the result dictates the precision of the measurement.

    Example:

    // Performs position readout into 32 bit precision
    float[32] c = measure_x m[0];
    
    // or can do a lower-precision measurement
    float[5] c2 = measure_x m[1];
    
  3. Similarly, the measure_n keyword performs a Fock readout of a qumode, and stores the result in a uint variable. Again, the bit width of the resulting variable determines the precision of the measurement.

    Example:

    // Performs fock readout into 32 bit precision
    uint[32] c = measure_n m[0];
    
    // or can do a lower-precision measurement
    uint[5] c2 = measure_n m[1];
    
  4. We introduce a CV-DV standard gate library based on Liu et al. This library should be handled by compilers using the statement include "cvstdgates.inc";, and we include its definitions in the file examples/cvstdgates.inc. All of our gates follow the definitions of this library, so you can use the documentation of hl.ops as a reference.