[HTML][HTML] Constrained quantum optimization for extractive summarization on a trapped-ion quantum computer
Realizing the potential of near-term quantum computers to solve industry-relevant
constrained-optimization problems is a promising path to quantum advantage. In this work …
constrained-optimization problems is a promising path to quantum advantage. In this work …
A practitioner's guide to quantum algorithms for optimisation problems
Quantum computing is gaining popularity across a wide range of scientific disciplines due to
its potential to solve long-standing computational problems that are considered intractable …
its potential to solve long-standing computational problems that are considered intractable …
Short-depth circuits for Dicke state preparation
We present short-depth quantum circuits to deterministically prepare any Dicke state
\left|D_k^n\right⟩, which is the equal-amplitude superposition of all n-qubit computational …
\left|D_k^n\right⟩, which is the equal-amplitude superposition of all n-qubit computational …
Alignment between initial state and mixer improves QAOA performance for constrained optimization
Quantum alternating operator ansatz (QAOA) has a strong connection to the adiabatic
algorithm, which it can approximate with sufficient depth. However, it is unclear to what …
algorithm, which it can approximate with sufficient depth. However, it is unclear to what …
Preparing valence-bond-solid states on noisy intermediate-scale quantum computers
Quantum state preparation is a key step in all digital quantum simulation algorithms. Here
we propose methods to initialize on a gate-based quantum computer a general class of …
we propose methods to initialize on a gate-based quantum computer a general class of …
State preparation of antisymmetrized geminal power on a quantum computer without number projection
The antisymmetrized geminal power (AGP) is equivalent to the number projected Bardeen–
Cooper–Schrieffer (PBCS) wave function. It is also an elementary symmetric polynomial …
Cooper–Schrieffer (PBCS) wave function. It is also an elementary symmetric polynomial …
Numerical evidence for exponential speed-up of qaoa over unstructured search for approximate constrained optimization
Despite much recent work, the true promise and limitations of the Quantum Alternating
Operator Ansatz (QAOA)[30] are unclear. A critical question regarding QAOA is to what …
Operator Ansatz (QAOA)[30] are unclear. A critical question regarding QAOA is to what …
Qudit Dicke state preparation
Qudit Dicke states are higher-dimensional analogues of an important class of highly-
entangled completely symmetric quantum states known as (qubit) Dicke states. A circuit for …
entangled completely symmetric quantum states known as (qubit) Dicke states. A circuit for …
Permutation-invariant quantum codes with transversal generalized phase gates
E Kubischta, I Teixeira - IEEE Transactions on Information …, 2024 - ieeexplore.ieee.org
With respect to the transversal gate group (an invariant of quantum codes), we demonstrate
that non-additive codes can outperform stabilizer codes. We do this by constructing spin …
that non-additive codes can outperform stabilizer codes. We do this by constructing spin …
Achieving the Heisenberg limit with Dicke states in noisy quantum metrology
Going beyond the standard quantum limit in noisy quantum metrology is an important and
challenging task. Here we show how Dicke states can be used to surpass the standard …
challenging task. Here we show how Dicke states can be used to surpass the standard …