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a trapped-atom quantum memory (PDF) - MIT

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TELEPORTATION: VIA BELL STATE MEASUREMENT<br />

|Φ> = α |↑> + β |↓><br />

|Ψ> = ( |↑ ↓ > − | ↓ ↑ > ) /√2<br />

ALICE<br />

BOB<br />

| √2 |W> = α (|↑↑↓> − |↑↓↑>) + β (|↓↑↓> − |↓↓↑>)<br />

BELL STATES<br />

DECOMPOSITION<br />

|Β 1 > = ( |↑ ↓ > − | ↓ ↑ > ) /√2<br />

|Β 2 > = ( |↑ ↓ > + | ↓ ↑ > ) /√2<br />

|Β 3 > = ( |↑ ↑ > − | ↓ ↓ > ) /√2<br />

|Β 4 > = ( |↑ ↑ > + | ↓ ↓ > ) /√2<br />

|↑ ↑ > = (|Β 4 > + |Β 3 >) /√2<br />

|↓ ↓ > = (|Β 4 > − |Β 3 >) /√2<br />

|↑ ↓ > = (|Β 2 > + |Β 1 >) /√2<br />

|↓ ↑ > = (|Β 2 > − |Β 1 >) /√2

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