実数に基づいた量子論は実験的に偽証される
Marc-Olivier Renou1, David Trillo2, Mirjam Weilenmann2
1ICFO-Institut de Ciencies Fotoniques, The Barcelona Institute of Science and Technology, Castelldefels (Barcelona), Spain.
Nature
|December 16, 2021
まとめ
物理実験の説明には 複雑な数は必要ありませんが この研究は 量子理論にとって 極めて重要であることを示しています 提案された実験は ベル実験が 局所物理学を否定したような 量子理論を否定するかもしれません
科学分野:
- 量子物理学
- 量子力学の基礎
- 数学物理学
背景:
- 物理実験は概率と実数を使って記述される.
- 量子理論は,複雑なヒルベルト空間を用いて 独創的に考案され,他の物理理論とは異なっている.
- 実数演算子を用いた"実数理論"は,共有された実数状態の実験の結果を再現することが示されている.
研究 の 目的:
- 量子力学形式主義における複雑な数の必要性を調査する.
- 量子理論に 複雑数が必要かどうかを 判断する
- 実験的な予測を通して 量子理論の真と複合の公式を区別する.
主な方法:
- 量子力学のリアルと複雑なヒルベルト空間式を比較する理論分析.
- 2つの配列を区別するためにベルのような実験を考案する.
- ネットワークシナリオで予測を調査し,独立した状態と測定を行います.
主要な成果:
- 量子理論のリアルと複雑なヒルベルト空間式は,特定のネットワークシナリオで異なる予測を生成します.
- これらの異なる予測を実験的にテストするために,ベルのような実験が提案されています.
- この研究は,量子形式主義には複雑な数が必要であることを示しています.
結論:
- 複素数は単なる数学的な都合ではなく 量子論の予測力には不可欠です
- 提案された実験は,実際の量子理論を偽証するための重要なテストとして機能します.
- この研究は,ベル実験が局所性を明らかにした方法と類似して,量子力学における複雑な数の基本的役割を明確にしています.
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