Efficient tensor network simulation of ibm's eagle kicked ising experiment
We report an accurate and efficient classical simulation of a kicked Ising quantum system on
the heavy hexagon lattice. A simulation of this system was recently performed on a 127-qubit …
the heavy hexagon lattice. A simulation of this system was recently performed on a 127-qubit …
Exponentially tighter bounds on limitations of quantum error mitigation
Quantum error mitigation has been proposed as a means to combat unwanted and
unavoidable errors in near-term quantum computing without the heavy resource overheads …
unavoidable errors in near-term quantum computing without the heavy resource overheads …
Covariant quantum kernels for data with group structure
The use of kernel functions is a common technique to extract important features from
datasets. A quantum computer can be used to estimate kernel entries as transition …
datasets. A quantum computer can be used to estimate kernel entries as transition …
Group-theoretic error mitigation enabled by classical shadows and symmetries
Estimating expectation values is a key subroutine in quantum algorithms. Near-term
implementations face two major challenges: a limited number of samples required to learn a …
implementations face two major challenges: a limited number of samples required to learn a …
Absence of barren plateaus in finite local-depth circuits with long-range entanglement
Ground state preparation is classically intractable for general Hamiltonians. On quantum
devices, shallow parametrized circuits can be effectively trained to obtain short-range …
devices, shallow parametrized circuits can be effectively trained to obtain short-range …
Classical simulation of peaked shallow quantum circuits
An n-qubit quantum circuit is said to be peaked if it has an output probability that is at least
inverse-polynomially large as a function of n. We describe a classical algorithm with …
inverse-polynomially large as a function of n. We describe a classical algorithm with …
Hardware-efficient ansatz without barren plateaus in any depth
Variational quantum circuits have recently gained much interest due to their relevance in
real-world applications, such as combinatorial optimizations, quantum simulations, and …
real-world applications, such as combinatorial optimizations, quantum simulations, and …
Noise-induced shallow circuits and absence of barren plateaus
Motivated by realistic hardware considerations of the pre-fault-tolerant era, we
comprehensively study the impact of uncorrected noise on quantum circuits. We first show …
comprehensively study the impact of uncorrected noise on quantum circuits. We first show …
Heisenberg-limited metrology with perturbing interactions
We show that it is possible to perform Heisenberg-limited metrology on GHZ-like states, in
the presence of generic spatially local, possibly strong interactions during the measurement …
the presence of generic spatially local, possibly strong interactions during the measurement …
Observable-Driven Speed-ups in Quantum Simulations
As quantum technology advances, quantum simulation becomes increasingly promising,
with significant implications for quantum many-body physics and quantum chemistry …
with significant implications for quantum many-body physics and quantum chemistry …