[BUG] parameterizing coefficients of `qml.dot` fails with qjit

[bnishanth16]

Experienced TracerBoolConversionError when trying to parameterize coeffients of qml.dot with qjit. Minimal example code below.

Expected behavior: (without qjit)

import pennylane as qml
import jax.numpy as jnp
from catalyst import qjit

@qml.qnode(qml.device('lightning.qubit', wires=1))
def circuit(x):
    coeffs = [x]
    ops = [qml.PauliX(0)]
    H = qml.dot(coeffs, ops) # H = qml.Hamiltonian(coeffs, ops)
    qml.evolve(H)
    return qml.expval(qml.Z(0))

print(circuit(jnp.array([0.5])))

Output:

>>>  [0.54030231]

Actual Behaviour: (with qjit)

import pennylane as qml
import jax.numpy as jnp
from catalyst import qjit

@qjit(autograph=True)
@qml.qnode(qml.device('lightning.qubit', wires=1))
def circuit(x):
    coeffs = [x]
    ops = [qml.PauliX(0)]
    H = qml.dot(coeffs, ops) # H = qml.Hamiltonian(coeffs, ops)
    qml.evolve(H)
    return qml.expval(qml.Z(0))

print(circuit(jnp.array([0.5])))

Output:

---------------------------------------------------------------------------
TracerBoolConversionError                 Traceback (most recent call last)
Cell In[7], line 14
     11     qml.evolve(H)
     12     return qml.expval(qml.Z(0))
---> 14 print(circuit(jnp.array([0.5])))

File ~/anaconda3/envs/pennylane40/lib/python3.12/site-packages/pennylane/logging/decorators.py:61, in log_string_debug_func.<locals>.wrapper_entry(*args, **kwargs)
     54     s_caller = "::L".join(
     55         [str(i) for i in inspect.getouterframes(inspect.currentframe(), 2)[1][1:3]]
     56     )
     57     lgr.debug(
     58         f"Calling {f_string} from {s_caller}",
     59         **_debug_log_kwargs,
     60     )
---> 61 return func(*args, **kwargs)

File ~/anaconda3/envs/pennylane40/lib/python3.12/site-packages/catalyst/jit.py:521, in QJIT.__call__(self, *args, **kwargs)
    517         kwargs = {"static_argnums": self.compile_options.static_argnums, **kwargs}
    519     return self.user_function(*args, **kwargs)
--> 521 requires_promotion = self.jit_compile(args, **kwargs)
    523 # If we receive tracers as input, dispatch to the JAX integration.
    524 if any(isinstance(arg, jax.core.Tracer) for arg in tree_flatten(args)[0]):
...
File ~/anaconda3/envs/pennylane40/lib/python3.12/site-packages/pennylane/ops/functions/dot.py:171, in dot(coeffs, ops, pauli, grouping_type, method)
    168 # Convert possible PauliWord and PauliSentence instances to operation
    169 ops = [op.operation() if isinstance(op, (PauliWord, PauliSentence)) else op for op in ops]
--> 171 operands = [op if coeff == 1 else qml.s_prod(coeff, op) for coeff, op in zip(coeffs, ops)]
    172 return (
    173     operands[0]
    174     if len(operands) == 1
    175     else qml.sum(*operands, grouping_type=grouping_type, method=method)
    176 )

File ~/anaconda3/envs/pennylane40/lib/python3.12/site-packages/jax/_src/core.py:712, in Tracer.__bool__(self)
    710 def __bool__(self):
    711   check_bool_conversion(self)
--> 712   return self.aval._bool(self)

File ~/anaconda3/envs/pennylane40/lib/python3.12/site-packages/jax/_src/core.py:1475, in concretization_function_error.<locals>.error(self, arg)
   1474 def error(self, arg):
-> 1475   raise TracerBoolConversionError(arg)

TracerBoolConversionError: Attempted boolean conversion of traced array with shape bool[1]..
See https://jax.readthedocs.io/en/latest/errors.html#jax.errors.TracerBoolConversionError

System information:

Name: PennyLane
Version: 0.40.0
Summary: PennyLane is a cross-platform Python library for quantum computing, quantum machine learning, and quantum chemistry. Train a quantum computer the same way as a neural network.
Home-page: https://github.com/PennyLaneAI/pennylane
Author: 
Author-email: 
License: Apache License 2.0
Location: /home/nishanth/anaconda3/envs/pennylane40/lib/python3.12/site-packages
Requires: appdirs, autograd, autoray, cachetools, diastatic-malt, networkx, numpy, packaging, pennylane-lightning, requests, rustworkx, scipy, tomlkit, typing-extensions
Required-by: PennyLane-Catalyst, PennyLane_Lightning

Platform info:           Linux-4.4.0-19041-Microsoft-x86_64-with-glibc2.35
Python version:          3.12.8
Numpy version:           2.0.2
Scipy version:           1.15.1
Installed devices:
- default.clifford (PennyLane-0.40.0)
- default.gaussian (PennyLane-0.40.0)
- default.mixed (PennyLane-0.40.0)
- default.qubit (PennyLane-0.40.0)
- default.qutrit (PennyLane-0.40.0)
- default.qutrit.mixed (PennyLane-0.40.0)
- default.tensor (PennyLane-0.40.0)
- null.qubit (PennyLane-0.40.0)
- reference.qubit (PennyLane-0.40.0)
- nvidia.custatevec (PennyLane-Catalyst-0.10.0)
- nvidia.cutensornet (PennyLane-Catalyst-0.10.0)
- oqc.cloud (PennyLane-Catalyst-0.10.0)
- softwareq.qpp (PennyLane-Catalyst-0.10.0)
- lightning.qubit (PennyLane_Lightning-0.40.0)

Additional Information: Replacing qml.dot with qml.Hamiltonian gives the same error.