[HTML][HTML] Classical shadows with noise
The classical shadows protocol, recently introduced by Huang, Kueng, and Preskill [Nat.
Phys. 16, 1050 (2020)], is a quantum-classical protocol to estimate properties of an unknown …
Phys. 16, 1050 (2020)], is a quantum-classical protocol to estimate properties of an unknown …
Clifford group and unitary designs under symmetry
Y Mitsuhashi, N Yoshioka - PRX Quantum, 2023 - APS
We have generalized the well-known statement that the Clifford group is a unitary 3-design
into symmetric cases by extending the notion of unitary design. Concretely, we have proven …
into symmetric cases by extending the notion of unitary design. Concretely, we have proven …
Random matrix theory of the isospectral twirling
We present a systematic construction of probes into the dynamics of isospectral ensembles
of Hamiltonians by the notion of Isospectral twirling, expanding the scopes and methods of …
of Hamiltonians by the notion of Isospectral twirling, expanding the scopes and methods of …
Closing gaps of a quantum advantage with short-time Hamiltonian dynamics
Demonstrating a quantum computational speed-up is a crucial milestone for near-term
quantum technology. Recently, sampling protocols for quantum simulators have been …
quantum technology. Recently, sampling protocols for quantum simulators have been …
Efficient verification of boson sampling
The demonstration of quantum speedup, also known as quantum computational supremacy,
that is the ability of quantum computers to outperform dramatically their classical …
that is the ability of quantum computers to outperform dramatically their classical …
Efficient unitary designs with a system-size independent number of non-clifford gates
Many quantum information protocols require the implementation of random unitaries.
Because it takes exponential resources to produce Haar-random unitaries drawn from the …
Because it takes exponential resources to produce Haar-random unitaries drawn from the …
Efficient construction of quantum physical unclonable functions with unitary t-designs
Quantum physical unclonable functions, or QPUFs, are rapidly emerging as theoretical
hardware solutions to provide secure cryptographic functionalities such as key-exchange …
hardware solutions to provide secure cryptographic functionalities such as key-exchange …
An efficient quantum state verification framework and its application to bosonic systems
Modern quantum devices are highly susceptible to errors, making the verification of their
correct operation a critical problem. Usual tomographic methods rapidly become intractable …
correct operation a critical problem. Usual tomographic methods rapidly become intractable …
Developing tools for cold atom research: an ultracold Na-K experiment, proposals for unitary k-designs, and a web interface
RP Bhatt - 2022 - archiv.ub.uni-heidelberg.de
Synthetic quantum systems present a highly controllable platform for understanding
fundamental physics and development of associated technological applications. This thesis …
fundamental physics and development of associated technological applications. This thesis …
On Unitary t-Designs from Relaxed Seeds
The capacity to randomly pick a unitary across the whole unitary group is a powerful tool
across physics and quantum information. A unitary t-design is designed to tackle this …
across physics and quantum information. A unitary t-design is designed to tackle this …