BravyiKitaevSuperFastMapper

class BravyiKitaevSuperFastMapper

Bases: FermionicMapper

The Bravyi-Kitaev super-fast fermion-to-qubit mapping.

This implementation follows closely Reference [1].

References

[1] Kanav Setia and James D. Whitfield, "Bravyi-Kitaev Superfast simulation of electronic structure on a quantum computer", J. Chem. Phys. 148, 164104 (2018). https://doi.org/10.1063/1.5019371

Methods

map(second_q_ops, *, register_length=None)

Maps a second quantized operator or a list, dict of second quantized operators based on the current mapper.

প্যারামিটার:

• second_q_ops (FermionicOp | List[FermionicOp | None] | Dict[str, FermionicOp]) -- A second quantized operator, or list thereof.

• register_length (int | None) -- when provided, this will be used to overwrite the register_length attribute of the SparseLabelOp being mapped. This is possible because the register_length is considered a lower bound in a SparseLabelOp.

রিটার্নস:

A qubit operator in the form of a SparsePauliOp, or list (resp. dict) thereof if a list (resp. dict) of second quantized operators was supplied.

রিটার্ন টাইপ:

SparsePauliOp | List[SparsePauliOp | None] | Dict[str, SparsePauliOp]

classmethod mode_based_mapping(second_q_op, register_length=None)

Utility method to map a SparseLabelOp to a qubit operator using a pauli table.

প্যারামিটার:

• second_q_op (SparseLabelOp) -- the SparseLabelOp to be mapped.

• register_length (int | None) -- when provided, this will be used to overwrite the register_length attribute of the operator being mapped. This is possible because the register_length is considered a lower bound.

রিটার্নস:

The qubit operator corresponding to the problem-Hamiltonian in the qubit space.

রেইজেস:

QiskitNatureError -- If number length of pauli table does not match the number of operator modes, or if the operator has unexpected label content

রিটার্ন টাইপ:

SparsePauliOp

classmethod pauli_table(register_length)

Generates a Pauli-lookup table mapping from modes to pauli pairs.

The generated table is processed by QubitMapper.sparse_pauli_operators().

প্যারামিটার:

register_length (int) -- the register length for which to generate the table.

রিটার্নস:

A list of tuples in which the first and second Pauli operator the real and imaginary Pauli strings, respectively.

রিটার্ন টাইপ:

list[tuple[qiskit.quantum_info.operators.symplectic.pauli.Pauli, qiskit.quantum_info.operators.symplectic.pauli.Pauli]]

classmethod sparse_pauli_operators(register_length)

Generates the cached SparsePauliOp terms.

This uses QubitMapper.pauli_table() to construct a list of operators used to translate the second-quantization symbols into qubit operators.

প্যারামিটার:

register_length (int) -- the register length for which to generate the operators.

রিটার্নস:

Two lists stored in a tuple, consisting of the creation and annihilation operators, applied on the individual modes.

রিটার্ন টাইপ:

tuple[list[qiskit.quantum_info.operators.symplectic.sparse_pauli_op.SparsePauliOp], list[qiskit.quantum_info.operators.symplectic.sparse_pauli_op.SparsePauliOp]]