Programmable XY-type couplings through parallel spin-dependent forces on the same trapped ion motional modes
Bibliographic record
Abstract
We propose and experimentally demonstrate an analog scheme for generating XY-type (<a:math xmlns:a="http://www.w3.org/1998/Math/MathML"><a:mrow><a:msubsup><a:mi>J</a:mi><a:mrow><a:mi>i</a:mi><a:mi>j</a:mi></a:mrow><a:mi>x</a:mi></a:msubsup><a:msubsup><a:mi>σ</a:mi><a:mi>x</a:mi><a:mi>i</a:mi></a:msubsup><a:msubsup><a:mi>σ</a:mi><a:mi>x</a:mi><a:mi>j</a:mi></a:msubsup><a:mo>+</a:mo><a:msubsup><a:mi>J</a:mi><a:mrow><a:mi>i</a:mi><a:mi>j</a:mi></a:mrow><a:mi>y</a:mi></a:msubsup><a:msubsup><a:mi>σ</a:mi><a:mi>y</a:mi><a:mi>i</a:mi></a:msubsup><a:msubsup><a:mi>σ</a:mi><a:mi>y</a:mi><a:mi>j</a:mi></a:msubsup></a:mrow></a:math>) Hamiltonians on trapped ion spins with independent control over the <b:math xmlns:b="http://www.w3.org/1998/Math/MathML"><b:msubsup><b:mi>J</b:mi><b:mrow><b:mi>i</b:mi><b:mi>j</b:mi></b:mrow><b:mi>x</b:mi></b:msubsup></b:math> and <c:math xmlns:c="http://www.w3.org/1998/Math/MathML"><c:msubsup><c:mi>J</c:mi><c:mrow><c:mi>i</c:mi><c:mi>j</c:mi></c:mrow><c:mi>y</c:mi></c:msubsup></c:math> terms. The Ising-type interactions <d:math xmlns:d="http://www.w3.org/1998/Math/MathML"><d:mrow><d:msubsup><d:mi>σ</d:mi><d:mi>x</d:mi><d:mi>i</d:mi></d:msubsup><d:msubsup><d:mi>σ</d:mi><d:mi>x</d:mi><d:mi>j</d:mi></d:msubsup></d:mrow></d:math> and <e:math xmlns:e="http://www.w3.org/1998/Math/MathML"><e:mrow><e:msubsup><e:mi>σ</e:mi><e:mi>y</e:mi><e:mi>i</e:mi></e:msubsup><e:msubsup><e:mi>σ</e:mi><e:mi>y</e:mi><e:mi>j</e:mi></e:msubsup></e:mrow></e:math> are simultaneously generated by employing two spin-dependent forces operating in parallel on the same set of normal modes. We analytically calculate the region of validity of this scheme, and provide numerical and experimental validation with <f:math xmlns:f="http://www.w3.org/1998/Math/MathML"><f:mmultiscripts><f:mi>Yb</f:mi><f:none/><f:mo>+</f:mo><f:mprescripts/><f:none/><f:mn>171</f:mn></f:mmultiscripts></f:math> ions. This scheme inherits the programmability and scalability of the Ising-type interactions with trapped ions that have been explored in numerous quantum simulation experiments. Our approach extends the capabilities of existing trapped ion quantum simulators to access a large class of spin Hamiltonians relevant for exploring exotic quantum phases such as superfluidity and spin liquids. Published by the American Physical Society 2024
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How this classification was reachedexpand
Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.002 | 0.000 |
| Meta-epidemiology (narrow) | 0.001 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.001 |
| Bibliometrics | 0.000 | 0.001 |
| Science and technology studies | 0.001 | 0.001 |
| Scholarly communication | 0.001 | 0.000 |
| Open science | 0.001 | 0.000 |
| Research integrity | 0.000 | 0.002 |
| Insufficient payload (model declined to judge) | 0.001 | 0.003 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from itClassification
machine, unvalidatedMachine predicted; a candidate call from one teacher head, not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".