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How many qubits are needed for quantum computational supremacy?
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 …
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
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 …
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
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 …
time” in terms of temporal gate sequences, the measurement-based model could allow …
Verifying commuting quantum computations via fidelity estimation of weighted graph states
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 …
demonstrate a quantum computational advantage over classical computers. If the IQP model …
Unconditional verification of quantum computation with classical light
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 …
from a quantum computer is correct. Existing verification protocols conducted between a …
Fine-grained quantum computational supremacy
Output probability distributions of several sub-universal quantum computing models cannot
be classically efficiently sampled unless some unlikely consequences occur in classical …
be classically efficiently sampled unless some unlikely consequences occur in classical …
Rewindable quantum computation and its equivalence to cloning and adaptive postselection
We define rewinding operators that invert quantum measurements. Then, we define
complexity classes ${\sf RwBQP} $, ${\sf CBQP} $, and ${\sf AdPostBQP} $ as sets of …
complexity classes ${\sf RwBQP} $, ${\sf CBQP} $, and ${\sf AdPostBQP} $ as sets of …
Additive-error fine-grained quantum supremacy
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 …
the Boson sampling model, the one-clean qubit model, and the random circuit model, cannot …
Sumcheck-based delegation of quantum computing to rational server
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 …
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 …
states, to delegate quantum computing to a remote quantum server in such a way that the …