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Entangla & Entanglo

Quantum Entanglement Physics

\[\lvert\Phi^{+}\rangle = \frac{\lvert 00\rangle + \lvert 11\rangle}{\sqrt{2}}\]
$21.99 USD
$21.99 USD
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Can two particles stay linked across a lab or a continent? Entangla and Entanglo share one Bell state, (|00⟩ + |11⟩)/√2. Measure both in the same basis and the results always match, however far apart. Yet each result alone is random, so no message travels faster than light. Pixel-art black ceramic mug in 11 or 15 oz; equation, symbols and sources in the physics panel below.

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Details

Size & material11oz · 15oz

Black glossy ceramic mug with a C-handle. Lead- and BPA-free.

  • 11oz: 0.33 l
  • 15oz: 0.44 l
CareDishwasher & microwave safe

Dishwasher safe (top rack) or hand wash. Microwave safe.

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Made to order: about 10 days of production and handling before it ships.

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Returns & replacements21 days

Every item is printed to order, so we can’t accept returns or exchanges for change of mind, or if you ordered the wrong size or colour.

Print defect, misprint, damage or the wrong item? We’ll send a free replacement, or a refund if you prefer. Report it within 21 days of delivery with a photo; no need to send it back.

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The physics

In this Bell state, two qubits always give the same result when both are measured in the same basis, either both 0 or both 1, each half the time. Neither qubit has its own definite value until one is measured.

Entangla and Entanglo are two qubits that share one state.

The state on this mug is a Bell state. Neither qubit has a value of its own. Measure both in the 0/1 basis and you get 00 half the time and 11 half the time, the second line, never 01 or 10. The results always match, however far apart the two are.

Matching alone could be faked with shared instructions, decided in advance. In 1935 Einstein, Podolsky and Rosen argued that quantum mechanics must be missing exactly such hidden instructions. In 1964 John Bell showed that no such instructions can reproduce the quantum predictions when the partners choose among different measurement settings. Experiments from the 1970s and 1980s onward, culminating in loophole-free tests in 2015, sided with quantum mechanics. Alain Aspect, John Clauser and Anton Zeilinger shared the 2022 Nobel Prize.

NO SIGNAL. STILL IN SYNC. Each result alone is a fair coin toss, whatever the partner does, so nothing can be sent this way, let alone faster than light. And in sync means correlated outcomes, not linked motion: the matching shows up only when the two compare notes.

Entangla and Entanglo never talk. They never need to.

Equations

\[\lvert\Phi^{+}\rangle = \frac{\lvert 00\rangle + \lvert 11\rangle}{\sqrt{2}}\]
\[P(00) = P(11) = \tfrac{1}{2}\]
SymbolMeaningUnit
\(\lvert\Phi^{+}\rangle\) a Bell state of two qubits, one held by each partner \(\mathrm{1}\)
\(\lvert 00\rangle, \lvert 11\rangle\) both qubits 0, both qubits 1 \(\mathrm{1}\)
\(P(00), P(11)\) probabilities of the two joint outcomes when both are measured in the 0/1 basis \(\mathrm{1}\)

Sources

  1. Einstein, Podolsky & Rosen (1935) Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?, Phys. Rev. 47, 777
  2. Bell (1964) On the Einstein Podolsky Rosen paradox, Physics 1, 195
  3. Aspect, Grangier & Roger (1982) Experimental Realization of Einstein-Podolsky-Rosen-Bohm Gedankenexperiment: A New Violation of Bell’s Inequalities, PRL 49, 91
  4. Hensen et al. (2015) Loophole-free Bell inequality violation using electron spins separated by 1.3 kilometres, Nature 526, 682
  5. NobelPrize.org — The Nobel Prize in Physics 2022 (Aspect, Clauser, Zeilinger)
  6. Stanford Encyclopedia of Philosophy — Quantum Entanglement and Information

Source Einstein, A.; Podolsky, B.; Rosen, N. (1935). Can Quantum-Mechanical Description of Physical Reality Be Considered Complete? Physical Review 47, 777–780.doi.org/10.1103/PhysRev.47.777

Field notes

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