Quantum error mitigation
For quantum computers to successfully solve real-world problems, it is necessary to tackle
the challenge of noise: the errors that occur in elementary physical components due to …
the challenge of noise: the errors that occur in elementary physical components due to …
Limitations of optimization algorithms on noisy quantum devices
Recent successes in producing intermediate-scale quantum devices have focused interest
on establishing whether near-term devices could outperform classical computers for …
on establishing whether near-term devices could outperform classical computers for …
Fundamental limits of quantum error mitigation
The inevitable accumulation of errors in near-future quantum devices represents a key
obstacle in delivering practical quantum advantages, motivating the development of various …
obstacle in delivering practical quantum advantages, motivating the development of various …
Limitations of variational quantum algorithms: a quantum optimal transport approach
The impressive progress in quantum hardware of the last years has raised the interest of the
quantum computing community in harvesting the computational power of such devices …
quantum computing community in harvesting the computational power of such devices …
Universal sampling lower bounds for quantum error mitigation
Numerous quantum error-mitigation protocols have been proposed, motivated by the critical
need to suppress noise effects on intermediate-scale quantum devices. Yet, their general …
need to suppress noise effects on intermediate-scale quantum devices. Yet, their general …
Local random quantum circuits are approximate polynomial-designs
We prove that local random quantum circuits acting on n qubits composed of O (t 10 n 2)
many nearest neighbor two-qubit gates form an approximate unitary t-design. Previously it …
many nearest neighbor two-qubit gates form an approximate unitary t-design. Previously it …
The quantum Wasserstein distance of order 1
We propose a generalization of the Wasserstein distance of order 1 to the quantum states of
n qudits. The proposal recovers the Hamming distance for the vectors of the canonical basis …
n qudits. The proposal recovers the Hamming distance for the vectors of the canonical basis …
Universal cost bound of quantum error mitigation based on quantum estimation theory
We present a unified approach to analyzing the cost of various quantum error mitigation
methods on the basis of quantum estimation theory. By analyzing the quantum Fisher …
methods on the basis of quantum estimation theory. By analyzing the quantum Fisher …
Quantum thermal state preparation
Preparing ground states and thermal states is essential for simulating quantum systems on
quantum computers. Despite the hope for practical quantum advantage in quantum …
quantum computers. Despite the hope for practical quantum advantage in quantum …
Dissipative phase transitions and passive error correction
We classify different ways to passively protect classical and quantum information, ie, we do
not allow for syndrome measurements, in the context of local Lindblad models for spin …
not allow for syndrome measurements, in the context of local Lindblad models for spin …