How many qubits are needed for quantum computational supremacy?

AM Dalzell, AW Harrow, DE Koh, RL La Placa - Quantum, 2020 - quantum-journal.org
Quantum computational supremacy arguments, which describe a way for a quantum
computer to perform a task that cannot also be done by a classical computer, typically …

Efficient classical simulation of Clifford circuits with nonstabilizer input states

K Bu, DE Koh - Physical review letters, 2019 - APS
We investigate the problem of evaluating the output probabilities of Clifford circuits with
nonstabilizer product input states. First, we consider the case when the input state is mixed …

Changing the circuit-depth complexity of measurement-based quantum computation with hypergraph states

M Gachechiladze, O Gühne, A Miyake - Physical Review A, 2019 - APS
While the circuit model of quantum computation defines its logical depth or “computational
time” in terms of temporal gate sequences, the measurement-based model could allow …

Verifying commuting quantum computations via fidelity estimation of weighted graph states

M Hayashi, Y Takeuchi - New Journal of Physics, 2019 - iopscience.iop.org
The instantaneous quantum polynomial time (IQP) model is one of promising models to
demonstrate a quantum computational advantage over classical computers. If the IQP model …

Unconditional verification of quantum computation with classical light

Y Takeuchi, A Mizutani - arxiv preprint arxiv:2403.14142, 2024 - arxiv.org
Verification of quantum computation is a task to efficiently check whether an output given
from a quantum computer is correct. Existing verification protocols conducted between a …

Fine-grained quantum computational supremacy

T Morimae, S Tamaki - arxiv preprint arxiv:1901.01637, 2019 - arxiv.org
Output probability distributions of several sub-universal quantum computing models cannot
be classically efficiently sampled unless some unlikely consequences occur in classical …

Rewindable quantum computation and its equivalence to cloning and adaptive postselection

R Hiromasa, A Mizutani, Y Takeuchi, S Tani - arxiv preprint arxiv …, 2022 - arxiv.org
We define rewinding operators that invert quantum measurements. Then, we define
complexity classes ${\sf RwBQP} $, ${\sf CBQP} $, and ${\sf AdPostBQP} $ as sets of …

Additive-error fine-grained quantum supremacy

T Morimae, S Tamaki - Quantum, 2020 - quantum-journal.org
It is known that several sub-universal quantum computing models, such as the IQP model,
the Boson sampling model, the one-clean qubit model, and the random circuit model, cannot …

Sumcheck-based delegation of quantum computing to rational server

Y Takeuchi, T Morimae, S Tani - Theoretical Computer Science, 2022 - Elsevier
Delegated quantum computing enables a client with weak computational power to delegate
quantum computing to a remote quantum server in such a way that the integrity of the server …

Impossibility of blind quantum sampling for classical client

T Morimae, H Nishimura, Y Takeuchi… - Quantum Information & …, 2019 - dl.acm.org
Blind quantum computing enables a client, who can only generate or measure single-qubit
states, to delegate quantum computing to a remote quantum server in such a way that the …