# Adaptive estimation of quantum observables

@inproceedings{Shlosberg2021AdaptiveEO, title={Adaptive estimation of quantum observables}, author={Ariel Shlosberg and Andrew Jena and Priyanka Mukhopadhyay and Jan F. Haase and Felix Leditzky and Luca Dellantonio}, year={2021} }

is further post-processed in order to lower the er-Ariel ror on the estimator. We test our protocol on chemistry Hamiltonians, for which AEQuO provides error estimates that improve on all state-of-the-art methods based on various grouping techniques or randomized measurements, thus greatly lowering the toll of measurements in current and future quantum applications.

## 7 Citations

### Quantum expectation-value estimation by computational basis sampling

- EducationPhysical Review Research
- 2022

Measuring expectation values of observables is an essential ingredient in variational quantum algorithms. A practical obstacle is the necessity of a large number of measurements for statistical…

### Hardware-efficient entangled measurements for variational quantum algorithms

- Physics
- 2022

Variational algorithms have received signiﬁcant attention in recent years due to their potential to solve practical problems in noisy intermediate-scale quantum (NISQ) devices. A fundamental step of…

### Exact and efficient Lanczos method on a quantum computer

- Computer Science
- 2022

An algorithm that uses block encoding on a quantum computer to exactly construct a Krylov space, which can be used as the basis for the Lanczos method to estimate extremal eigenvalues of Hamiltonians in polynomial time and memory.

### Transforming Collections of Pauli Operators into Equivalent Collections of Pauli Operators over Minimal Registers

- Physics
- 2022

Transformations which convert between Fermionic modes and qubit operations have become a ubiquitous tool in quantum algorithms for simulating systems. Similarly, collections of Pauli operators might…

### Quantum algorithm for band structures with local tight-binding orbitals

- Physics
- 2022

While the main thrust of quantum computing research in materials science is to accurately measure the classically intractable electron correlation effects due to Coulomb repulsion, designing…

### Quantum algorithm for electronic band structures with local tight-binding orbitals

- PhysicsScientific reports
- 2022

While the main thrust of quantum computing research in materials science is to accurately measure the classically intractable electron correlation effects due to Coulomb repulsion, designing optimal…

### Improving Quantum Measurements by Introducing "Ghost" Pauli Products.

- PhysicsJournal of chemical theory and computation
- 2022

Reducing the number of measurements required to estimate the expectation value of an observable is crucial for the variational quantum eigensolver to become competitive with state-of-the-art…

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