REVIEW 4 cited by
An Efficient Quantum Circuit for Block Encoding a Pairing Hamiltonian
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
Signed reviews
read the original abstract
We present an efficient quantum circuit for block encoding pairing Hamiltonian often studied in nuclear physics. Our block encoding scheme does not require mapping the creation and annihilation operators to the Pauli operators and representing the Hamiltonian as a linear combination of unitaries. Instead, we show how to encode the Hamiltonian directly using controlled swap operations. We analyze the gate complexity of the block encoding circuit and show that it scales polynomially with respect to the number of qubits required to represent a quantum state associated with the pairing Hamiltonian. We also show how the block encoding circuit can be combined with the quantum singular value transformation to construct an efficient quantum circuit for approximating the density of states of a pairing Hamiltonian. The techniques presented can be extended to encode more general second-quantized Hamiltonians.
Forward citations
Cited by 4 Pith papers
-
High-order Magnus Expansion for Hamiltonian Simulation
Arbitrary-order Magnus expansion is shown to have commutator-scaling error bounds and a polynomial-cost quantum circuit, yielding a time-dependent Hamiltonian simulation algorithm with O~(αbar^{1+1/p} T^{1+1/p}/ε^{1/p...
-
Quantum Channel Polynomial Processing
QCPP implements polynomial transformations of Hamiltonians via stochastic mixtures of unitary channels, achieving a tunable tradeoff between query and sample complexity.
-
Ab initio many-fermion structure calculations on a quantum computer
A quantum-classical resolvent method with a new fermionic block-encoding input scheme computes the spectrum and J values of 20O in a truncated sd-shell space, matching classical diagonalization.
-
Efficient Quantum Simulation of QCD Jets on the Light Front
A direct second-quantized qubit encoding of the light-front QCD Hamiltonian is used to classically emulate in-medium jet evolution with up to three-particle Fock states.
Discussion (0). Continue with ORCID to comment.