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   GENERALIZED JOINT HIGHER-RANK NUMERICAL RANGE  
   
نویسنده Afshin H. R. ,Bagheri S. ,Mehrjoofard Mohammad Ali
منبع journal of algebraic systems - 2015 - دوره : 3 - شماره : 1 - صفحه:31 -38
چکیده    The rank-k numerical range has a close connection to the construction of quantum error correction code for a noisy quantum channel. for noisy quantum channel, a quantum error correcting code of dimension k exists if and only if the associated joint rank-k numerical range is non-empty. in this paper the notion of joint rank-k numerical range is generalized and some statements of [2011, generalized numerical ranges and quantum error correction, j. operator theory, 66: 2, 335-351.] are extended.
کلیدواژه generalized projector ,joint higher rank numerical range ,joint matrix numerical range ,joint matrix higher rank numerical range ,generalized joint higher ranknumerical range
آدرس vali-e-asr university of rafsanjan, Department of Mathematics, ایران, vali-e-asr university of rafsanjan, Department of Mathematics, ایران, vali-e-asr university of rafsanjan, Department of Mathematics, ایران
پست الکترونیکی aahaay@gmail.com
 
     
   
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